%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT018+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 : n017.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 09:06:36 AM UTC 2026
% Result : Theorem 6.33s 1.92s
% Output : Refutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 23
% Syntax : Number of formulae : 88 ( 42 unt; 2 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 196 ( 88 ~; 81 |; 19 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 79 !; 2 ?)
% 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(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).
fof(f471,axiom,
accept_population(muslimcountrybhumanitarianorganization,other,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_202) ).
fof(f472,axiom,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_203) ).
fof(f473,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_204) ).
fof(f475,axiom,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_206) ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_366) ).
fof(f637,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f638,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
fof(f712,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f715,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
fof(f899,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f902,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less01) ).
fof(f907,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f908,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f909,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
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(f913,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X2))
& rdn_non_zero(X1) )
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
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,
? [X0] : ~ accept_population(X0,christian,n24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_18) ).
fof(f924,negated_conjecture,
~ ? [X0] : ~ accept_population(X0,christian,n24),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f931,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f932,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ accept_population(X0,X3,X1)
| ~ less(X2,X1) ),
inference(flattening,[],[f931]) ).
fof(f937,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(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(flattening,[],[f937]) ).
fof(f940,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(ennf_transformation,[],[f913]) ).
fof(f941,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(flattening,[],[f940]) ).
fof(f943,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f915]) ).
fof(f945,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(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(flattening,[],[f945]) ).
fof(f951,plain,
! [X0] : accept_population(X0,christian,n24),
inference(ennf_transformation,[],[f924]) ).
fof(f970,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f971,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f970]) ).
fof(f987,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| accept_population(X0,X3,X2)
| ~ less(X2,X1) ),
inference(cnf_transformation,[],[f932]) ).
fof(f1040,plain,
! [X0] :
( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f971]) ).
fof(f1520,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n1),
inference(cnf_transformation,[],[f471]) ).
fof(f1521,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
inference(cnf_transformation,[],[f472]) ).
fof(f1522,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(cnf_transformation,[],[f473]) ).
fof(f1524,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
inference(cnf_transformation,[],[f475]) ).
fof(f1684,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[],[f635]) ).
fof(f1686,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f637]) ).
fof(f1687,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f638]) ).
fof(f1761,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f712]) ).
fof(f1764,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f715]) ).
fof(f1948,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f899]) ).
fof(f1951,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf_transformation,[],[f902]) ).
fof(f1956,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f907]) ).
fof(f1957,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f908]) ).
fof(f1958,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f909]) ).
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,[],[f938]) ).
fof(f1962,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1) ),
inference(cnf_transformation,[],[f941]) ).
fof(f1964,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f943]) ).
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,[],[f946]) ).
fof(f1972,plain,
! [X0] : accept_population(X0,christian,n24),
inference(cnf_transformation,[],[f951]) ).
fof(f1974,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1040,f1972]) ).
fof(f1979,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdnn(n1))
| less(X0,n1)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1966,f1687]) ).
fof(f1985,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1948,f1964]) ).
fof(f2024,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1960,f1958]) ).
fof(f2031,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1960,f1957]) ).
fof(f2036,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f2031,f1956]) ).
fof(f2037,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f2036,f2024]) ).
fof(f2083,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| less(X0,n1) ),
inference(resolution,[],[f1979,f1951]) ).
fof(f2095,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
| ~ less(X0,n78) ),
inference(resolution,[],[f1524,f987]) ).
fof(f2139,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,other,X0)
| ~ less(X0,n1) ),
inference(resolution,[],[f1520,f987]) ).
fof(f2141,plain,
( ~ less(n0,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f2139,f1974]) ).
fof(f2143,plain,
( ~ less(n0,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f2141,f1522]) ).
fof(f2144,plain,
( ~ less(n0,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f2143,f1521]) ).
fof(f2145,plain,
( ~ less(n0,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(forward_subsumption_resolution,[],[f2144,f1684]) ).
fof(f2147,definition,
( spl0_7
<=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f2149,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| spl0_7 ),
inference(avatar_component_clause,[],[f2147]) ).
fof(f2151,definition,
( spl0_8
<=> less(n0,n1) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f2154,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f2145,f2151,f2147]) ).
fof(f2158,plain,
less(n0,n1),
inference(resolution,[],[f2083,f1686]) ).
fof(f2159,plain,
spl0_8,
inference(avatar_split_clause,[],[f2158,f2151]) ).
fof(f2205,plain,
( ~ less(n75,n78)
| spl0_7 ),
inference(resolution,[],[f2095,f2149]) ).
fof(f2257,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n8),rdnn(n7)))
| less(X0,n78)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1764,f1966]) ).
fof(f2268,plain,
! [X0,X1] :
( less(X0,n78)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| ~ rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_non_zero(rdnn(n7)) ),
inference(resolution,[],[f2257,f1962]) ).
fof(f2270,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
| less(X0,n78)
| ~ rdn_positive_less(rdnn(X1),rdnn(n8)) ),
inference(forward_subsumption_resolution,[],[f2268,f1985]) ).
fof(f2272,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f2270,f1761]) ).
fof(f2275,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2272,f2205]) ).
fof(f2276,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2275,f2037]) ).
fof(f2277,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f2276]) ).
cnf(s4,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f2154]) ).
cnf(s5,plain,
spl0_8,
inference(sat_conversion,[],[f2159]) ).
cnf(s11,plain,
spl0_7,
inference(sat_conversion,[],[f2277]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s4,s5,s11]) ).
fof(f2278,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT018+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 : n017.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 19:07:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 7.35/1.83 % (3908005)Detected formulas, will run a generic FOF schedule.
% 7.35/1.83 % (3908014)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1595515509:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.35/1.83 % (3908014)Refutation not found, incomplete strategy
% 7.35/1.83 % (3908014)------------------------------
% 7.35/1.83 % (3908014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.83 % (3908014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.83 % (3908014)CaDiCaL version: 2.1.3
% 7.35/1.83 % (3908014)Termination reason: Refutation not found, incomplete strategy
% 7.35/1.83 % (3908014)Time elapsed: 0.005 s
% 7.35/1.83 % (3908014)Peak memory usage: 88 MB
% 7.35/1.83 % (3908014)Instructions burned: 15 (million)
% 7.35/1.83 % (3908013)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2566679885:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.35/1.83 % (3908011)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=4080909283:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.35/1.83 % (3908010)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=2603305030:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.35/1.83 % (3908012)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=2212967684:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.35/1.83 % (3908016)dis-21_1_sil=8000:lcm=predicate:random_seed=1494667800: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)
% 7.35/1.83 % (3908015)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2675170267:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.35/1.83 % (3908013)Refutation not found, incomplete strategy
% 7.35/1.83 % (3908013)------------------------------
% 7.35/1.83 % (3908013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.83 % (3908013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.83 % (3908013)CaDiCaL version: 2.1.3
% 7.35/1.83 % (3908013)Termination reason: Refutation not found, incomplete strategy
% 7.35/1.83 % (3908013)Time elapsed: 0.003 s
% 7.35/1.83 % (3908013)Peak memory usage: 88 MB
% 7.35/1.83 % (3908013)Instructions burned: 3 (million)
% 7.35/1.83 % (3908016)Instruction limit reached!
% 7.35/1.83 % (3908016)------------------------------
% 7.35/1.83 % (3908016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.83 % (3908016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.83 % (3908016)CaDiCaL version: 2.1.3
% 7.35/1.83 % (3908016)Termination reason: Instruction limit
% 7.35/1.83 % (3908016)Termination phase: Saturation
% 7.35/1.83 % (3908016)Time elapsed: 0.065 s
% 7.35/1.83 % (3908016)Peak memory usage: 90 MB
% 7.35/1.83 % (3908016)Instructions burned: 130 (million)
% 7.35/1.83 % (3908015)Instruction limit reached!
% 7.35/1.83 % (3908015)------------------------------
% 7.35/1.83 % (3908015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.83 % (3908015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.83 % (3908015)CaDiCaL version: 2.1.3
% 7.35/1.83 % (3908015)Termination reason: Instruction limit
% 7.35/1.83 % (3908015)Termination phase: Saturation
% 7.35/1.83 % (3908015)Time elapsed: 0.083 s
% 7.35/1.83 % (3908015)Peak memory usage: 90 MB
% 7.35/1.83 % (3908015)Instructions burned: 139 (million)
% 7.35/1.83 % (3908014)------------------------------
% 7.35/1.83 % (3908014)------------------------------
% 7.35/1.83 % (3908024)lrs+10_1_sil=8000:sp=occurrence:random_seed=3310240892:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.35/1.83 % (3908024)Refutation not found, incomplete strategy
% 7.35/1.83 % (3908024)------------------------------
% 7.35/1.83 % (3908024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.83 % (3908024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.83 % (3908024)CaDiCaL version: 2.1.3
% 7.35/1.83 % (3908024)Termination reason: Refutation not found, incomplete strategy
% 7.35/1.83 % (3908024)Time elapsed: 0.009 s
% 7.35/1.83 % (3908024)Peak memory usage: 88 MB
% 6.33/1.92 % (3908024)Instructions burned: 16 (million)
% 6.33/1.92 % (3908025)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1450481549:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.33/1.92 % (3908025)Refutation not found, incomplete strategy
% 6.33/1.92 % (3908025)------------------------------
% 6.33/1.92 % (3908025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908025)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908025)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.92 % (3908025)Time elapsed: 0.005 s
% 6.33/1.92 % (3908025)Peak memory usage: 88 MB
% 6.33/1.92 % (3908025)Instructions burned: 8 (million)
% 6.33/1.92 % (3908026)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2157758827:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.33/1.92 % (3908026)Refutation not found, incomplete strategy
% 6.33/1.92 % (3908026)------------------------------
% 6.33/1.92 % (3908026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908026)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908026)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.92 % (3908026)Time elapsed: 0.002 s
% 6.33/1.92 % (3908026)Peak memory usage: 88 MB
% 6.33/1.92 % (3908026)Instructions burned: 3 (million)
% 6.33/1.92 % (3908013)------------------------------
% 6.33/1.92 % (3908013)------------------------------
% 6.33/1.92 % (3908030)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=1522436299:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.33/1.92 % (3908026)------------------------------
% 6.33/1.92 % (3908026)------------------------------
% 6.33/1.92 % (3908024)------------------------------
% 6.33/1.92 % (3908024)------------------------------
% 6.33/1.92 % (3908025)------------------------------
% 6.33/1.92 % (3908025)------------------------------
% 6.33/1.92 % (3908032)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3619758126:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.33/1.92 % (3908032)Refutation not found, incomplete strategy
% 6.33/1.92 % (3908032)------------------------------
% 6.33/1.92 % (3908032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908032)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908032)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.92 % (3908032)Time elapsed: 0.004 s
% 6.33/1.92 % (3908032)Peak memory usage: 88 MB
% 6.33/1.92 % (3908032)Instructions burned: 12 (million)
% 6.33/1.92 % (3908030)Instruction limit reached!
% 6.33/1.92 % (3908030)------------------------------
% 6.33/1.92 % (3908030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908030)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908030)Termination reason: Instruction limit
% 6.33/1.92 % (3908030)Termination phase: Saturation
% 6.33/1.92 % (3908030)Time elapsed: 0.126 s
% 6.33/1.92 % (3908030)Peak memory usage: 93 MB
% 6.33/1.92 % (3908030)Instructions burned: 248 (million)
% 6.33/1.92 % (3908033)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3370830293:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.33/1.92 % (3908034)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3804627582:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.33/1.92 % (3908012)Refutation not found, incomplete strategy
% 6.33/1.92 % (3908012)------------------------------
% 6.33/1.92 % (3908012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908012)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908012)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.92 % (3908012)Time elapsed: 0.616 s
% 6.33/1.92 % (3908012)Peak memory usage: 129 MB
% 6.33/1.92 % (3908012)Instructions burned: 907 (million)
% 6.33/1.92 % (3908034)Refutation not found, incomplete strategy
% 6.33/1.92 % (3908034)------------------------------
% 6.33/1.92 % (3908034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908034)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908034)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.92 % (3908034)Time elapsed: 0.011 s
% 6.33/1.92 % (3908034)Peak memory usage: 89 MB
% 6.33/1.92 % (3908034)Instructions burned: 16 (million)
% 6.33/1.92 % (3908036)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3348147780:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.33/1.92 % (3908032)------------------------------
% 6.33/1.92 % (3908032)------------------------------
% 6.33/1.92 % (3908036)Instruction limit reached!
% 6.33/1.92 % (3908036)------------------------------
% 6.33/1.92 % (3908036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908036)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908036)Termination reason: Instruction limit
% 6.33/1.92 % (3908036)Termination phase: Saturation
% 6.33/1.92 % (3908036)Time elapsed: 0.063 s
% 6.33/1.92 % (3908036)Peak memory usage: 89 MB
% 6.33/1.92 % (3908036)Instructions burned: 127 (million)
% 6.33/1.92 % (3908040)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3165744608:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.33/1.92 % (3908011)Refutation not found, incomplete strategy
% 6.33/1.92 % (3908011)------------------------------
% 6.33/1.92 % (3908011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908011)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908011)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.92 % (3908011)Time elapsed: 0.769 s
% 6.33/1.92 % (3908011)Peak memory usage: 132 MB
% 6.33/1.92 % (3908011)Instructions burned: 1144 (million)
% 6.33/1.92 % (3908040)Refutation not found, incomplete strategy
% 6.33/1.92 % (3908040)------------------------------
% 6.33/1.92 % (3908040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908040)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908040)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.92 % (3908040)Time elapsed: 0.014 s
% 6.33/1.92 % (3908040)Peak memory usage: 90 MB
% 6.33/1.92 % (3908040)Instructions burned: 48 (million)
% 6.33/1.92 % (3908010)First to succeed.
% 6.33/1.92 % (3908010)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3908005"
% 6.33/1.92 % (3908041)lrs+10_1_sil=8000:sp=occurrence:random_seed=3208745987:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.33/1.92 % (3908041)Refutation not found, incomplete strategy
% 6.33/1.92 % (3908041)------------------------------
% 6.33/1.92 % (3908041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908041)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908041)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.92 % (3908041)Time elapsed: 0.010 s
% 6.33/1.92 % (3908041)Peak memory usage: 88 MB
% 6.33/1.92 % (3908041)Instructions burned: 18 (million)
% 6.33/1.92 % (3908012)------------------------------
% 6.33/1.92 % (3908012)------------------------------
% 6.33/1.92 % (3908034)------------------------------
% 6.33/1.92 % (3908034)------------------------------
% 6.33/1.92 % (3908040)------------------------------
% 6.33/1.92 % (3908040)------------------------------
% 6.33/1.92 % (3908044)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1655710540:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 6.33/1.92 % (3908044)Refutation not found, incomplete strategy
% 6.33/1.92 % (3908044)------------------------------
% 6.33/1.92 % (3908044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908044)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908044)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.92 % (3908044)Time elapsed: 0.003 s
% 6.33/1.92 % (3908044)Peak memory usage: 88 MB
% 6.33/1.92 % (3908044)Instructions burned: 3 (million)
% 6.33/1.92 % (3908045)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1547430526:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 6.33/1.92 % (3908011)------------------------------
% 6.33/1.92 % (3908011)------------------------------
% 6.33/1.92 % (3908046)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2667171442:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.33/1.92 % (3908046)Instruction limit reached!
% 6.33/1.92 % (3908046)------------------------------
% 6.33/1.92 % (3908046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.92 % (3908046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.92 % (3908046)CaDiCaL version: 2.1.3
% 6.33/1.92 % (3908046)Termination reason: Instruction limit
% 6.33/1.92 % (3908046)Termination phase: Saturation
% 6.33/1.92 % (3908046)Time elapsed: 0.036 s
% 6.33/1.92 % (3908046)Peak memory usage: 90 MB
% 6.33/1.92 % (3908046)Instructions burned: 136 (million)
% 6.33/1.92 % (3908010)Refutation found. Thanks to Tanya!
% 6.33/1.92 % SZS status Theorem for theBenchmark
% 6.33/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 9.32/2.12 % (3908010)------------------------------
% 9.32/2.12 % (3908010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.12 % (3908010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.12 % (3908010)CaDiCaL version: 2.1.3
% 9.32/2.12 % (3908010)Termination reason: Refutation
% 9.32/2.12 % (3908010)Time elapsed: 0.818 s
% 9.32/2.12 % (3908010)Peak memory usage: 139 MB
% 9.32/2.12 % (3908010)Instructions burned: 1246 (million)
% 9.32/2.12 % (3908010)------------------------------
% 9.32/2.12 % (3908010)------------------------------
% 9.32/2.12 % (3908005)Success in time 1.252 s
% 9.32/2.12 % Vampire exiting
%------------------------------------------------------------------------------