%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT023+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 : n016.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 09:06:37 AM UTC 2026
% Result : Theorem 7.66s 1.90s
% Output : Refutation 7.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 25 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 195 ( 82 ~; 75 |; 32 &)
% ( 2 <=>; 4 =>; 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 : 77 ( 75 !; 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/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(f17,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n25)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,citya) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_10) ).
fof(f473,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_204) ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_366) ).
fof(f661,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn24) ).
fof(f662,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn25) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f906,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45) ).
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,
? [X0] : ~ accept_city(X0,citya),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_23) ).
fof(f924,negated_conjecture,
~ ? [X0] : ~ accept_city(X0,citya),
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(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_city(X0,citya),
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(f972,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n25)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,citya) )
& ( accept_city(X0,citya)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n25)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f973,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n25)
& accept_population(X0,muslim,n0)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,citya) )
& ( accept_city(X0,citya)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n25)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f972]) ).
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_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(f1047,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1048,plain,
! [X0] :
( accept_population(X0,native,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1050,plain,
! [X0] :
( accept_population(X0,christian,n25)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1051,plain,
! [X0] :
( accept_population(X0,atheist,n75)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1522,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(cnf_transformation,[],[f473]) ).
fof(f1684,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[],[f635]) ).
fof(f1710,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f661]) ).
fof(f1711,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf_transformation,[],[f662]) ).
fof(f1943,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f1955,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f906]) ).
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_city(X0,citya),
inference(cnf_transformation,[],[f951]) ).
fof(f1974,plain,
! [X0] : accept_population(X0,other,n0),
inference(forward_subsumption_resolution,[],[f1047,f1972]) ).
fof(f1975,plain,
! [X0] : accept_population(X0,native,n0),
inference(forward_subsumption_resolution,[],[f1048,f1972]) ).
fof(f1977,plain,
! [X0] : accept_population(X0,christian,n25),
inference(forward_subsumption_resolution,[],[f1050,f1972]) ).
fof(f1978,plain,
! [X0] : accept_population(X0,atheist,n75),
inference(forward_subsumption_resolution,[],[f1051,f1972]) ).
fof(f1980,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n2)))
| less(X0,n25)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1966,f1711]) ).
fof(f1984,plain,
! [X0] :
( ~ 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(resolution,[],[f1974,f1040]) ).
fof(f1985,plain,
! [X0] :
( ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1984,f1978]) ).
fof(f1987,plain,
! [X0] :
( ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| accept_city(X0,towna) ),
inference(forward_subsumption_resolution,[],[f1985,f1975]) ).
fof(f1988,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1964,f1943]) ).
fof(f1999,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| less(X1,n25)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2)))) ),
inference(resolution,[],[f1962,f1980]) ).
fof(f2000,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2))))
| less(X1,n25)
| ~ rdn_positive_less(rdnn(X0),rdnn(n5)) ),
inference(forward_subsumption_resolution,[],[f1999,f1988]) ).
fof(f2024,plain,
! [X0,X1] :
( accept_population(X0,christian,X1)
| ~ less(X1,n25) ),
inference(resolution,[],[f987,f1977]) ).
fof(f2092,plain,
( less(n24,n25)
| ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
inference(resolution,[],[f1710,f2000]) ).
fof(f2095,plain,
less(n24,n25),
inference(forward_subsumption_resolution,[],[f2092,f1955]) ).
fof(f2289,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolution,[],[f1522,f1987]) ).
fof(f2291,plain,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(forward_subsumption_resolution,[],[f2289,f1684]) ).
fof(f2293,plain,
~ less(n24,n25),
inference(resolution,[],[f2291,f2024]) ).
fof(f2294,plain,
$false,
inference(forward_subsumption_resolution,[],[f2293,f2095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT023+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:19:19 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 6.22/1.81 % (3908449)Detected formulas, will run a generic FOF schedule.
% 6.22/1.81 % (3908458)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1284476256:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.22/1.81 % (3908458)Refutation not found, incomplete strategy
% 6.22/1.81 % (3908458)------------------------------
% 6.22/1.81 % (3908458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.81 % (3908458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.81 % (3908458)CaDiCaL version: 2.1.3
% 6.22/1.81 % (3908458)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.81 % (3908458)Time elapsed: 0.004 s
% 6.22/1.81 % (3908458)Peak memory usage: 88 MB
% 6.22/1.81 % (3908458)Instructions burned: 15 (million)
% 6.22/1.81 % (3908456)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=665207679:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.22/1.81 % (3908459)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2653281721:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.22/1.81 % (3908455)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=119784386:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.22/1.81 % (3908454)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=456904290:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.22/1.81 % (3908457)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1406662555:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.22/1.81 % (3908460)dis-21_1_sil=8000:lcm=predicate:random_seed=2506399488: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)
% 6.22/1.81 % (3908457)Refutation not found, incomplete strategy
% 6.22/1.81 % (3908457)------------------------------
% 6.22/1.81 % (3908457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.81 % (3908457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.81 % (3908457)CaDiCaL version: 2.1.3
% 6.22/1.81 % (3908457)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.81 % (3908457)Time elapsed: 0.002 s
% 6.22/1.81 % (3908457)Peak memory usage: 88 MB
% 6.22/1.81 % (3908457)Instructions burned: 2 (million)
% 6.22/1.81 % (3908460)Instruction limit reached!
% 6.22/1.81 % (3908460)------------------------------
% 6.22/1.81 % (3908460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.81 % (3908460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.81 % (3908460)CaDiCaL version: 2.1.3
% 6.22/1.81 % (3908460)Termination reason: Instruction limit
% 6.22/1.81 % (3908460)Termination phase: Saturation
% 6.22/1.81 % (3908460)Time elapsed: 0.065 s
% 6.22/1.81 % (3908460)Peak memory usage: 91 MB
% 6.22/1.81 % (3908460)Instructions burned: 131 (million)
% 6.22/1.81 % (3908459)Instruction limit reached!
% 6.22/1.81 % (3908459)------------------------------
% 6.22/1.81 % (3908459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.81 % (3908459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.81 % (3908459)CaDiCaL version: 2.1.3
% 6.22/1.81 % (3908459)Termination reason: Instruction limit
% 6.22/1.81 % (3908459)Termination phase: Saturation
% 6.22/1.81 % (3908459)Time elapsed: 0.086 s
% 6.22/1.81 % (3908459)Peak memory usage: 90 MB
% 6.22/1.81 % (3908459)Instructions burned: 140 (million)
% 6.22/1.81 % (3908458)------------------------------
% 6.22/1.81 % (3908458)------------------------------
% 6.22/1.81 % (3908468)lrs+10_1_sil=8000:sp=occurrence:random_seed=4280243923:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.22/1.81 % (3908470)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4064109651:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.22/1.81 % (3908468)Refutation not found, incomplete strategy
% 6.22/1.81 % (3908468)------------------------------
% 6.22/1.81 % (3908468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.81 % (3908468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.81 % (3908468)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908468)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908468)Time elapsed: 0.008 s
% 7.66/1.90 % (3908468)Peak memory usage: 88 MB
% 7.66/1.90 % (3908468)Instructions burned: 13 (million)
% 7.66/1.90 % (3908470)Refutation not found, incomplete strategy
% 7.66/1.90 % (3908470)------------------------------
% 7.66/1.90 % (3908470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908470)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908470)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908470)Time elapsed: 0.001 s
% 7.66/1.90 % (3908470)Peak memory usage: 88 MB
% 7.66/1.90 % (3908470)Instructions burned: 3 (million)
% 7.66/1.90 % (3908469)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1176617147:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.66/1.90 % (3908469)Refutation not found, incomplete strategy
% 7.66/1.90 % (3908469)------------------------------
% 7.66/1.90 % (3908469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908469)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908469)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908469)Time elapsed: 0.005 s
% 7.66/1.90 % (3908469)Peak memory usage: 88 MB
% 7.66/1.90 % (3908469)Instructions burned: 8 (million)
% 7.66/1.90 % (3908457)------------------------------
% 7.66/1.90 % (3908457)------------------------------
% 7.66/1.90 % (3908470)------------------------------
% 7.66/1.90 % (3908470)------------------------------
% 7.66/1.90 % (3908474)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=2885680094:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.66/1.90 % (3908468)------------------------------
% 7.66/1.90 % (3908468)------------------------------
% 7.66/1.90 % (3908469)------------------------------
% 7.66/1.90 % (3908469)------------------------------
% 7.66/1.90 % (3908475)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=279640739:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.66/1.90 % (3908475)Refutation not found, incomplete strategy
% 7.66/1.90 % (3908475)------------------------------
% 7.66/1.90 % (3908475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908475)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908475)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908475)Time elapsed: 0.004 s
% 7.66/1.90 % (3908475)Peak memory usage: 88 MB
% 7.66/1.90 % (3908475)Instructions burned: 12 (million)
% 7.66/1.90 % (3908474)Instruction limit reached!
% 7.66/1.90 % (3908474)------------------------------
% 7.66/1.90 % (3908474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908474)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908474)Termination reason: Instruction limit
% 7.66/1.90 % (3908474)Termination phase: Saturation
% 7.66/1.90 % (3908474)Time elapsed: 0.126 s
% 7.66/1.90 % (3908474)Peak memory usage: 91 MB
% 7.66/1.90 % (3908474)Instructions burned: 248 (million)
% 7.66/1.90 % (3908477)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1698956354:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.66/1.90 % (3908456)Refutation not found, incomplete strategy
% 7.66/1.90 % (3908456)------------------------------
% 7.66/1.90 % (3908456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908456)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908456)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908456)Time elapsed: 0.609 s
% 7.66/1.90 % (3908456)Peak memory usage: 129 MB
% 7.66/1.90 % (3908456)Instructions burned: 903 (million)
% 7.66/1.90 % (3908478)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=149871906:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.66/1.90 % (3908478)Refutation not found, incomplete strategy
% 7.66/1.90 % (3908478)------------------------------
% 7.66/1.90 % (3908478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908478)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908478)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908478)Time elapsed: 0.006 s
% 7.66/1.90 % (3908478)Peak memory usage: 88 MB
% 7.66/1.90 % (3908478)Instructions burned: 9 (million)
% 7.66/1.90 % (3908475)------------------------------
% 7.66/1.90 % (3908475)------------------------------
% 7.66/1.90 % (3908480)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1369552222:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.66/1.90 % (3908480)Instruction limit reached!
% 7.66/1.90 % (3908480)------------------------------
% 7.66/1.90 % (3908480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908480)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908480)Termination reason: Instruction limit
% 7.66/1.90 % (3908480)Termination phase: Saturation
% 7.66/1.90 % (3908480)Time elapsed: 0.061 s
% 7.66/1.90 % (3908480)Peak memory usage: 89 MB
% 7.66/1.90 % (3908480)Instructions burned: 128 (million)
% 7.66/1.90 % (3908455)Refutation not found, incomplete strategy
% 7.66/1.90 % (3908455)------------------------------
% 7.66/1.90 % (3908455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908455)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908455)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908455)Time elapsed: 0.720 s
% 7.66/1.90 % (3908455)Peak memory usage: 132 MB
% 7.66/1.90 % (3908455)Instructions burned: 1073 (million)
% 7.66/1.90 % (3908483)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3624898154:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.66/1.90 % (3908483)Refutation not found, incomplete strategy
% 7.66/1.90 % (3908483)------------------------------
% 7.66/1.90 % (3908483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908483)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908483)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908483)Time elapsed: 0.009 s
% 7.66/1.90 % (3908483)Peak memory usage: 89 MB
% 7.66/1.90 % (3908483)Instructions burned: 29 (million)
% 7.66/1.90 % (3908454)First to succeed.
% 7.66/1.90 % (3908454)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3908449"
% 7.66/1.90 % (3908485)lrs+10_1_sil=8000:sp=occurrence:random_seed=2373615647:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.66/1.90 % (3908456)------------------------------
% 7.66/1.90 % (3908456)------------------------------
% 7.66/1.90 % (3908485)Refutation not found, incomplete strategy
% 7.66/1.90 % (3908485)------------------------------
% 7.66/1.90 % (3908485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908485)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908485)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908485)Time elapsed: 0.010 s
% 7.66/1.90 % (3908485)Peak memory usage: 89 MB
% 7.66/1.90 % (3908485)Instructions burned: 19 (million)
% 7.66/1.90 % (3908478)------------------------------
% 7.66/1.90 % (3908478)------------------------------
% 7.66/1.90 % (3908483)------------------------------
% 7.66/1.90 % (3908483)------------------------------
% 7.66/1.90 % (3908455)------------------------------
% 7.66/1.90 % (3908455)------------------------------
% 7.66/1.90 % (3908490)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1162684003:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.66/1.90 % (3908488)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4281746890:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 7.66/1.90 % (3908489)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3201624922:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.66/1.90 % (3908488)Refutation not found, incomplete strategy
% 7.66/1.90 % (3908488)------------------------------
% 7.66/1.90 % (3908488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908488)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908488)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.90 % (3908488)Time elapsed: 0.002 s
% 7.66/1.90 % (3908488)Peak memory usage: 88 MB
% 7.66/1.90 % (3908488)Instructions burned: 2 (million)
% 7.66/1.90 % (3908490)Instruction limit reached!
% 7.66/1.90 % (3908490)------------------------------
% 7.66/1.90 % (3908490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.90 % (3908490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.90 % (3908490)CaDiCaL version: 2.1.3
% 7.66/1.90 % (3908490)Termination reason: Instruction limit
% 7.66/1.90 % (3908490)Termination phase: Saturation
% 7.66/1.90 % (3908490)Time elapsed: 0.036 s
% 7.66/1.90 % (3908490)Peak memory usage: 90 MB
% 7.66/1.90 % (3908490)Instructions burned: 138 (million)
% 7.66/1.90 % (3908454)Refutation found. Thanks to Tanya!
% 7.66/1.90 % SZS status Theorem for theBenchmark
% 7.66/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 7.66/1.99 % (3908454)------------------------------
% 7.66/1.99 % (3908454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.99 % (3908454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.99 % (3908454)CaDiCaL version: 2.1.3
% 7.66/1.99 % (3908454)Termination reason: Refutation
% 7.66/1.99 % (3908454)Time elapsed: 0.806 s
% 7.66/1.99 % (3908454)Peak memory usage: 138 MB
% 7.66/1.99 % (3908454)Instructions burned: 1237 (million)
% 7.66/1.99 % (3908454)------------------------------
% 7.66/1.99 % (3908454)------------------------------
% 7.66/1.99 % (3908449)Success in time 1.24 s
% 7.66/1.99 % Vampire exiting
%------------------------------------------------------------------------------