%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT012+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 7.58s 1.95s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 67 ( 33 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 167 ( 75 ~; 67 |; 19 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',a2_9) ).
fof(f362,axiom,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_93) ).
fof(f472,axiom,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_203) ).
fof(f473,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_204) ).
fof(f475,axiom,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_206) ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_366) ).
fof(f712,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn75) ).
fof(f715,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn78) ).
fof(f899,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f907,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f908,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f909,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f923,conjecture,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_12) ).
fof(f924,negated_conjecture,
~ ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f925,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n24),
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(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(ennf_transformation,[],[f913]) ).
fof(f942,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,[],[f941]) ).
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(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,[],[f933]) ).
fof(f1040,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(cnf_transformation,[],[f971]) ).
fof(f1411,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
inference(cnf_transformation,[],[f362]) ).
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(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(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,[],[f939]) ).
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,[],[f942]) ).
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(muslimcountrybhumanitarianorganization,christian,n24),
inference(cnf_transformation,[],[f925]) ).
fof(f1976,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f1411,f1040]) ).
fof(f1977,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1976,f1972]) ).
fof(f1978,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1977,f1522]) ).
fof(f1979,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1978,f1521]) ).
fof(f1980,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(forward_subsumption_resolution,[],[f1979,f1684]) ).
fof(f1990,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1948,f1964]) ).
fof(f2011,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1960,f1958]) ).
fof(f2017,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1960,f1957]) ).
fof(f2022,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f2017,f1956]) ).
fof(f2023,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f2022,f2011]) ).
fof(f2047,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
| ~ less(X0,n78) ),
inference(resolution,[],[f987,f1524]) ).
fof(f2068,plain,
~ less(n75,n78),
inference(resolution,[],[f2047,f1980]) ).
fof(f2292,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(f2303,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,[],[f2292,f1962]) ).
fof(f2305,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,[],[f2303,f1990]) ).
fof(f2307,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f2305,f1761]) ).
fof(f2310,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(forward_subsumption_resolution,[],[f2307,f2068]) ).
fof(f2311,plain,
$false,
inference(forward_subsumption_resolution,[],[f2310,f2023]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT012+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:10:33 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/1.95 % (131458)Detected formulas, will run a generic FOF schedule.
% 7.58/1.95 % (131465)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=2639480317:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.58/1.95 % (131466)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=536178101:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.58/1.95 % (131463)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=2886807504:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.58/1.95 % (131468)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3479775191:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.58/1.95 % (131469)dis-21_1_sil=8000:lcm=predicate:random_seed=2229716150: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)
% 7.58/1.95 % (131464)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=4282236595:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.58/1.95 % (131467)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2412308395:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.58/1.95 % (131466)Refutation not found, incomplete strategy
% 7.58/1.95 % (131466)------------------------------
% 7.58/1.95 % (131466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131466)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131466)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131466)Time elapsed: 0.003 s
% 7.58/1.95 % (131466)Peak memory usage: 88 MB
% 7.58/1.95 % (131466)Instructions burned: 3 (million)
% 7.58/1.95 % (131467)Refutation not found, incomplete strategy
% 7.58/1.95 % (131467)------------------------------
% 7.58/1.95 % (131467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131467)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131467)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131467)Time elapsed: 0.009 s
% 7.58/1.95 % (131467)Peak memory usage: 88 MB
% 7.58/1.95 % (131467)Instructions burned: 16 (million)
% 7.58/1.95 % (131469)Instruction limit reached!
% 7.58/1.95 % (131469)------------------------------
% 7.58/1.95 % (131469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131469)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131469)Termination reason: Instruction limit
% 7.58/1.95 % (131469)Termination phase: Saturation
% 7.58/1.95 % (131469)Time elapsed: 0.082 s
% 7.58/1.95 % (131469)Peak memory usage: 90 MB
% 7.58/1.95 % (131469)Instructions burned: 131 (million)
% 7.58/1.95 % (131468)Instruction limit reached!
% 7.58/1.95 % (131468)------------------------------
% 7.58/1.95 % (131468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131468)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131468)Termination reason: Instruction limit
% 7.58/1.95 % (131468)Termination phase: Saturation
% 7.58/1.95 % (131468)Time elapsed: 0.116 s
% 7.58/1.95 % (131468)Peak memory usage: 90 MB
% 7.58/1.95 % (131468)Instructions burned: 139 (million)
% 7.58/1.95 % (131466)------------------------------
% 7.58/1.95 % (131466)------------------------------
% 7.58/1.95 % (131467)------------------------------
% 7.58/1.95 % (131467)------------------------------
% 7.58/1.95 % (131477)lrs+10_1_sil=8000:sp=occurrence:random_seed=2649475669:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.58/1.95 % (131477)Refutation not found, incomplete strategy
% 7.58/1.95 % (131477)------------------------------
% 7.58/1.95 % (131477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131477)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131477)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131477)Time elapsed: 0.009 s
% 7.58/1.95 % (131477)Peak memory usage: 88 MB
% 7.58/1.95 % (131477)Instructions burned: 15 (million)
% 7.58/1.95 % (131478)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2804605556:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.58/1.95 % (131478)Refutation not found, incomplete strategy
% 7.58/1.95 % (131478)------------------------------
% 7.58/1.95 % (131478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131478)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131478)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131478)Time elapsed: 0.005 s
% 7.58/1.95 % (131478)Peak memory usage: 88 MB
% 7.58/1.95 % (131478)Instructions burned: 9 (million)
% 7.58/1.95 % (131465)Refutation not found, incomplete strategy
% 7.58/1.95 % (131465)------------------------------
% 7.58/1.95 % (131465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131465)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131465)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131465)Time elapsed: 0.373 s
% 7.58/1.95 % (131465)Peak memory usage: 129 MB
% 7.58/1.95 % (131465)Instructions burned: 905 (million)
% 7.58/1.95 % (131479)lrs+1011_1_sil=32000:sp=occurrence:random_seed=901444632:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.58/1.95 % (131479)Refutation not found, incomplete strategy
% 7.58/1.95 % (131479)------------------------------
% 7.58/1.95 % (131479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131479)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131479)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131479)Time elapsed: 0.002 s
% 7.58/1.95 % (131479)Peak memory usage: 88 MB
% 7.58/1.95 % (131479)Instructions burned: 3 (million)
% 7.58/1.95 % (131481)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=1612808492:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.58/1.95 % (131477)------------------------------
% 7.58/1.95 % (131477)------------------------------
% 7.58/1.95 % (131479)------------------------------
% 7.58/1.95 % (131479)------------------------------
% 7.58/1.95 % (131478)------------------------------
% 7.58/1.95 % (131478)------------------------------
% 7.58/1.95 % (131481)Instruction limit reached!
% 7.58/1.95 % (131481)------------------------------
% 7.58/1.95 % (131481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131481)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131481)Termination reason: Instruction limit
% 7.58/1.95 % (131481)Termination phase: Saturation
% 7.58/1.95 % (131481)Time elapsed: 0.126 s
% 7.58/1.95 % (131481)Peak memory usage: 93 MB
% 7.58/1.95 % (131481)Instructions burned: 249 (million)
% 7.58/1.95 % (131465)------------------------------
% 7.58/1.95 % (131465)------------------------------
% 7.58/1.95 % (131486)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3710793083:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 7.58/1.95 % (131485)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1567004137:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 7.58/1.95 % (131487)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3356646900:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 7.58/1.95 % (131485)Refutation not found, incomplete strategy
% 7.58/1.95 % (131485)------------------------------
% 7.58/1.95 % (131485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131485)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131485)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131485)Time elapsed: 0.007 s
% 7.58/1.95 % (131485)Peak memory usage: 88 MB
% 7.58/1.95 % (131485)Instructions burned: 12 (million)
% 7.58/1.95 % (131487)Refutation not found, incomplete strategy
% 7.58/1.95 % (131487)------------------------------
% 7.58/1.95 % (131487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131487)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131487)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131487)Time elapsed: 0.006 s
% 7.58/1.95 % (131487)Peak memory usage: 89 MB
% 7.58/1.95 % (131487)Instructions burned: 9 (million)
% 7.58/1.95 % (131488)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=554649250:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.58/1.95 % (131488)Instruction limit reached!
% 7.58/1.95 % (131488)------------------------------
% 7.58/1.95 % (131488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131488)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131488)Termination reason: Instruction limit
% 7.58/1.95 % (131488)Termination phase: Saturation
% 7.58/1.95 % (131488)Time elapsed: 0.061 s
% 7.58/1.95 % (131488)Peak memory usage: 89 MB
% 7.58/1.95 % (131488)Instructions burned: 128 (million)
% 7.58/1.95 % (131489)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1942640998:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.58/1.95 % (131464)Refutation not found, incomplete strategy
% 7.58/1.95 % (131464)------------------------------
% 7.58/1.95 % (131464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131464)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131464)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131464)Time elapsed: 0.777 s
% 7.58/1.95 % (131464)Peak memory usage: 130 MB
% 7.58/1.95 % (131464)Instructions burned: 1142 (million)
% 7.58/1.95 % (131489)Refutation not found, incomplete strategy
% 7.58/1.95 % (131489)------------------------------
% 7.58/1.95 % (131489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131489)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131489)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131489)Time elapsed: 0.029 s
% 7.58/1.95 % (131489)Peak memory usage: 89 MB
% 7.58/1.95 % (131489)Instructions burned: 54 (million)
% 7.58/1.95 % (131463)First to succeed.
% 7.58/1.95 % (131463)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-131458"
% 7.58/1.95 % (131485)------------------------------
% 7.58/1.95 % (131485)------------------------------
% 7.58/1.95 % (131487)------------------------------
% 7.58/1.95 % (131487)------------------------------
% 7.58/1.95 % (131494)lrs+10_1_sil=8000:sp=occurrence:random_seed=247671654:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.58/1.95 % (131494)Refutation not found, incomplete strategy
% 7.58/1.95 % (131494)------------------------------
% 7.58/1.95 % (131494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/1.95 % (131494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.95 % (131494)CaDiCaL version: 2.1.3
% 7.58/1.95 % (131494)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.95 % (131494)Time elapsed: 0.010 s
% 7.58/1.95 % (131494)Peak memory usage: 88 MB
% 7.58/1.95 % (131494)Instructions burned: 18 (million)
% 7.58/1.95 % (131464)------------------------------
% 7.58/1.95 % (131464)------------------------------
% 7.58/1.95 % (131489)------------------------------
% 7.58/1.95 % (131489)------------------------------
% 7.58/1.95 % (131463)Refutation found. Thanks to Tanya!
% 7.58/1.95 % SZS status Theorem for theBenchmark
% 7.58/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.14 % (131463)------------------------------
% 0.19/2.14 % (131463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.14 % (131463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.14 % (131463)CaDiCaL version: 2.1.3
% 0.19/2.14 % (131463)Termination reason: Refutation
% 0.19/2.14 % (131463)Time elapsed: 0.829 s
% 0.19/2.14 % (131463)Peak memory usage: 137 MB
% 0.19/2.14 % (131463)Instructions burned: 1251 (million)
% 0.19/2.14 % (131463)------------------------------
% 0.19/2.14 % (131463)------------------------------
% 0.19/2.14 % (131458)Success in time 1.288 s
% 0.19/2.14 % Vampire exiting
%------------------------------------------------------------------------------