%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT026+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 : n010.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 09:06:38 AM UTC 2026
% Result : Theorem 7.39s 1.94s
% Output : Refutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 69 ( 29 unt; 2 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 159 ( 70 ~; 64 |; 17 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 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 : 82 ( 0 sgn 78 !; 4 ?)
% 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(f362,axiom,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_93) ).
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(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_366) ).
fof(f661,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
fof(f712,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f737,axiom,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn100) ).
fof(f893,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit1) ).
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,
? [X0,X1] : ~ accept_population(X0,X1,n100),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_26) ).
fof(f924,negated_conjecture,
~ ? [X0,X1] : ~ accept_population(X0,X1,n100),
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(f939,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(f942,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f914]) ).
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,X1] : accept_population(X0,X1,n100),
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_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(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(f1761,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f712]) ).
fof(f1786,plain,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
inference(cnf_transformation,[],[f737]) ).
fof(f1942,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f893]) ).
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,[],[f939]) ).
fof(f1963,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f942]) ).
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,X1] : accept_population(X0,X1,n100),
inference(cnf_transformation,[],[f951]) ).
fof(f1980,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(f1981,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1980,f1522]) ).
fof(f1982,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1981,f1521]) ).
fof(f1983,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
inference(forward_subsumption_resolution,[],[f1982,f1684]) ).
fof(f1985,definition,
( spl0_1
<=> accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1987,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| spl0_1 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f1989,definition,
( spl0_2
<=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1991,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| spl0_2 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f1992,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1983,f1989,f1985]) ).
fof(f2016,plain,
! [X0,X1] :
( ~ rdn_positive_less(X1,rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f1786,f1966]) ).
fof(f2054,plain,
rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f1942,f1964]) ).
fof(f2061,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(X0,rdn(rdnn(n0),rdnn(n1)))
| less(X1,n100)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X0))) ),
inference(resolution,[],[f1961,f2016]) ).
fof(f2063,plain,
! [X2,X0,X1] :
( less(X0,n100)
| ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| ~ rdn_non_zero(rdnn(n1)) ),
inference(resolution,[],[f2061,f1963]) ).
fof(f2067,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
| less(X0,n100) ),
inference(forward_subsumption_resolution,[],[f2063,f2054]) ).
fof(f2068,plain,
less(n24,n100),
inference(resolution,[],[f2067,f1710]) ).
fof(f2071,plain,
! [X2,X0,X1] :
( accept_population(X0,X1,X2)
| ~ less(X2,n100) ),
inference(resolution,[],[f987,f1972]) ).
fof(f2114,plain,
( ~ less(n24,n100)
| spl0_1 ),
inference(resolution,[],[f2071,f1987]) ).
fof(f2116,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2114,f2068]) ).
fof(f2117,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2133,plain,
( ~ less(n75,n100)
| spl0_2 ),
inference(resolution,[],[f1991,f2071]) ).
fof(f2273,plain,
less(n75,n100),
inference(resolution,[],[f1761,f2067]) ).
fof(f2275,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2273,f2133]) ).
fof(f2276,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2275]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1992]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f2117]) ).
cnf(s11,plain,
spl0_2,
inference(sat_conversion,[],[f2276]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s11,s5]) ).
fof(f2277,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT026+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n010.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 19:15:03 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 5.04/1.44 % (2225430)Detected formulas, will run a generic FOF schedule.
% 5.04/1.44 % (2225439)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=47771935:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.04/1.44 % (2225439)Refutation not found, incomplete strategy
% 5.04/1.44 % (2225439)------------------------------
% 5.04/1.44 % (2225439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.44 % (2225439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.44 % (2225439)CaDiCaL version: 2.1.3
% 5.04/1.44 % (2225439)Termination reason: Refutation not found, incomplete strategy
% 5.04/1.44 % (2225439)Time elapsed: 0.001 s
% 5.04/1.44 % (2225439)Peak memory usage: 87 MB
% 5.04/1.44 % (2225439)Instructions burned: 2 (million)
% 5.04/1.44 % (2225440)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2898355849:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.04/1.44 % (2225438)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2893969452:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.04/1.44 % (2225436)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=4194406151:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.04/1.44 % (2225435)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=1179589268:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.04/1.44 % (2225437)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=47416124:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.04/1.44 % (2225438)Refutation not found, incomplete strategy
% 5.04/1.44 % (2225438)------------------------------
% 5.04/1.44 % (2225438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.44 % (2225438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.44 % (2225438)CaDiCaL version: 2.1.3
% 5.04/1.44 % (2225438)Termination reason: Refutation not found, incomplete strategy
% 5.04/1.44 % (2225438)Time elapsed: 0.002 s
% 5.04/1.44 % (2225438)Peak memory usage: 87 MB
% 5.04/1.44 % (2225438)Instructions burned: 2 (million)
% 5.04/1.44 % (2225441)dis-21_1_sil=8000:lcm=predicate:random_seed=1315040673: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)
% 5.04/1.44 % (2225441)Instruction limit reached!
% 5.04/1.44 % (2225441)------------------------------
% 5.04/1.44 % (2225441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.44 % (2225441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.44 % (2225441)CaDiCaL version: 2.1.3
% 5.04/1.44 % (2225441)Termination reason: Instruction limit
% 5.04/1.44 % (2225441)Termination phase: Saturation
% 5.04/1.44 % (2225441)Time elapsed: 0.062 s
% 5.04/1.44 % (2225441)Peak memory usage: 91 MB
% 5.04/1.44 % (2225441)Instructions burned: 130 (million)
% 5.04/1.44 % (2225440)Instruction limit reached!
% 5.04/1.44 % (2225440)------------------------------
% 5.04/1.44 % (2225440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.44 % (2225440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.44 % (2225440)CaDiCaL version: 2.1.3
% 5.04/1.44 % (2225440)Termination reason: Instruction limit
% 5.04/1.44 % (2225440)Termination phase: Saturation
% 5.04/1.44 % (2225440)Time elapsed: 0.081 s
% 5.04/1.44 % (2225440)Peak memory usage: 90 MB
% 5.04/1.44 % (2225440)Instructions burned: 140 (million)
% 5.04/1.44 % (2225439)------------------------------
% 5.04/1.44 % (2225439)------------------------------
% 5.04/1.44 % (2225450)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3011839060:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.04/1.44 % (2225449)lrs+10_1_sil=8000:sp=occurrence:random_seed=1823070646:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.04/1.44 % (2225450)Refutation not found, incomplete strategy
% 5.04/1.44 % (2225450)------------------------------
% 5.04/1.44 % (2225450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.44 % (2225450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.44 % (2225450)CaDiCaL version: 2.1.3
% 7.39/1.92 % (2225450)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.92 % (2225450)Time elapsed: 0.005 s
% 7.39/1.92 % (2225450)Peak memory usage: 88 MB
% 7.39/1.92 % (2225450)Instructions burned: 8 (million)
% 7.39/1.92 % (2225449)Refutation not found, incomplete strategy
% 7.39/1.92 % (2225449)------------------------------
% 7.39/1.92 % (2225449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.92 % (2225449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.92 % (2225449)CaDiCaL version: 2.1.3
% 7.39/1.92 % (2225449)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.92 % (2225449)Time elapsed: 0.008 s
% 7.39/1.92 % (2225449)Peak memory usage: 89 MB
% 7.39/1.92 % (2225449)Instructions burned: 14 (million)
% 7.39/1.92 % (2225451)lrs+1011_1_sil=32000:sp=occurrence:random_seed=710104403:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.39/1.92 % (2225451)Refutation not found, incomplete strategy
% 7.39/1.92 % (2225451)------------------------------
% 7.39/1.92 % (2225451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.92 % (2225451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.92 % (2225451)CaDiCaL version: 2.1.3
% 7.39/1.92 % (2225451)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.92 % (2225451)Time elapsed: 0.001 s
% 7.39/1.92 % (2225451)Peak memory usage: 88 MB
% 7.39/1.92 % (2225451)Instructions burned: 2 (million)
% 7.39/1.92 % (2225438)------------------------------
% 7.39/1.92 % (2225438)------------------------------
% 7.39/1.92 % (2225451)------------------------------
% 7.39/1.92 % (2225451)------------------------------
% 7.39/1.92 % (2225455)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=1066903739:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.39/1.92 [W928 19:15:04.132699122 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.
% 7.39/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.92 [W928 19:15:04.132731545 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.
% 7.39/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.92 [W928 19:15:04.132769866 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.
% 7.39/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.92 [W928 19:15:04.132782876 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.
% 7.39/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.92 [W928 19:15:04.132807832 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.
% 7.39/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.92 [W928 19:15:04.132819102 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.
% 7.39/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.92 [W928 19:15:04.132843519 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.
% 7.39/1.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.92 [W928 19:15:04.132854746 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.
% 7.39/1.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.94 [W928 19:15:04.132878272 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.
% 7.39/1.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.94 [W928 19:15:04.132888743 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.
% 7.39/1.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.94 [W928 19:15:04.132912459 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.
% 7.39/1.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.94 [W928 19:15:04.132934186 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.
% 7.39/1.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.39/1.94 % (2225450)------------------------------
% 7.39/1.94 % (2225450)------------------------------
% 7.39/1.94 % (2225449)------------------------------
% 7.39/1.94 % (2225449)------------------------------
% 7.39/1.94 % (2225457)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=142905256:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.39/1.94 % (2225457)Refutation not found, incomplete strategy
% 7.39/1.94 % (2225457)------------------------------
% 7.39/1.94 % (2225457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225457)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225457)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.94 % (2225457)Time elapsed: 0.004 s
% 7.39/1.94 % (2225457)Peak memory usage: 88 MB
% 7.39/1.94 % (2225457)Instructions burned: 12 (million)
% 7.39/1.94 % (2225455)Instruction limit reached!
% 7.39/1.94 % (2225455)------------------------------
% 7.39/1.94 % (2225455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225455)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225455)Termination reason: Instruction limit
% 7.39/1.94 % (2225455)Termination phase: Saturation
% 7.39/1.94 % (2225455)Time elapsed: 0.128 s
% 7.39/1.94 % (2225455)Peak memory usage: 93 MB
% 7.39/1.94 % (2225455)Instructions burned: 248 (million)
% 7.39/1.94 % (2225437)Refutation not found, incomplete strategy
% 7.39/1.94 % (2225437)------------------------------
% 7.39/1.94 % (2225437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225437)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225437)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.94 % (2225437)Time elapsed: 0.565 s
% 7.39/1.94 % (2225437)Peak memory usage: 127 MB
% 7.39/1.94 % (2225437)Instructions burned: 832 (million)
% 7.39/1.94 % (2225458)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=890557002:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.39/1.94 % (2225459)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3059809892:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.39/1.94 % (2225459)Refutation not found, incomplete strategy
% 7.39/1.94 % (2225459)------------------------------
% 7.39/1.94 % (2225459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225459)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225459)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.94 % (2225459)Time elapsed: 0.006 s
% 7.39/1.94 % (2225459)Peak memory usage: 88 MB
% 7.39/1.94 % (2225459)Instructions burned: 9 (million)
% 7.39/1.94 % (2225457)------------------------------
% 7.39/1.94 % (2225457)------------------------------
% 7.39/1.94 % (2225461)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=342277340:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.39/1.94 % (2225461)Instruction limit reached!
% 7.39/1.94 % (2225461)------------------------------
% 7.39/1.94 % (2225461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225461)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225461)Termination reason: Instruction limit
% 7.39/1.94 % (2225461)Termination phase: Saturation
% 7.39/1.94 % (2225461)Time elapsed: 0.059 s
% 7.39/1.94 % (2225461)Peak memory usage: 89 MB
% 7.39/1.94 % (2225461)Instructions burned: 127 (million)
% 7.39/1.94 % (2225464)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2988099478:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.39/1.94 % (2225464)Refutation not found, incomplete strategy
% 7.39/1.94 % (2225464)------------------------------
% 7.39/1.94 % (2225464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225464)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225464)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.94 % (2225464)Time elapsed: 0.012 s
% 7.39/1.94 % (2225464)Peak memory usage: 89 MB
% 7.39/1.94 % (2225464)Instructions burned: 41 (million)
% 7.39/1.94 % (2225436)Refutation not found, incomplete strategy
% 7.39/1.94 % (2225436)------------------------------
% 7.39/1.94 % (2225436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225436)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225436)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.94 % (2225436)Time elapsed: 0.753 s
% 7.39/1.94 % (2225436)Peak memory usage: 131 MB
% 7.39/1.94 % (2225436)Instructions burned: 1118 (million)
% 7.39/1.94 % (2225435)First to succeed.
% 7.39/1.94 % (2225435)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2225430"
% 7.39/1.94 % (2225437)------------------------------
% 7.39/1.94 % (2225437)------------------------------
% 7.39/1.94 % (2225459)------------------------------
% 7.39/1.94 % (2225459)------------------------------
% 7.39/1.94 % (2225464)------------------------------
% 7.39/1.94 % (2225464)------------------------------
% 7.39/1.94 % (2225466)lrs+10_1_sil=8000:sp=occurrence:random_seed=1850101934:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.39/1.94 % (2225466)Refutation not found, incomplete strategy
% 7.39/1.94 % (2225466)------------------------------
% 7.39/1.94 % (2225466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225466)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225466)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.94 % (2225466)Time elapsed: 0.010 s
% 7.39/1.94 % (2225466)Peak memory usage: 89 MB
% 7.39/1.94 % (2225466)Instructions burned: 19 (million)
% 7.39/1.94 % (2225468)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2539403907:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.39/1.94 % (2225468)Refutation not found, incomplete strategy
% 7.39/1.94 % (2225468)------------------------------
% 7.39/1.94 % (2225468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225468)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225468)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.94 % (2225468)Time elapsed: 0.002 s
% 7.39/1.94 % (2225468)Peak memory usage: 87 MB
% 7.39/1.94 % (2225468)Instructions burned: 2 (million)
% 7.39/1.94 % (2225436)------------------------------
% 7.39/1.94 % (2225436)------------------------------
% 7.39/1.94 % (2225471)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1294319720:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 7.39/1.94 % (2225470)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3948812335:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 7.39/1.94 % (2225471)Refutation not found, incomplete strategy
% 7.39/1.94 % (2225471)------------------------------
% 7.39/1.94 % (2225471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.94 % (2225471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.94 % (2225471)CaDiCaL version: 2.1.3
% 7.39/1.94 % (2225471)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.94 % (2225471)Time elapsed: 0.002 s
% 7.39/1.94 % (2225471)Peak memory usage: 87 MB
% 7.39/1.94 % (2225471)Instructions burned: 2 (million)
% 7.39/1.94 % (2225435)Refutation found. Thanks to Tanya!
% 7.39/1.94 % SZS status Theorem for theBenchmark
% 7.39/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 9.06/2.13 % (2225435)------------------------------
% 9.06/2.13 % (2225435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/2.13 % (2225435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/2.13 % (2225435)CaDiCaL version: 2.1.3
% 9.06/2.13 % (2225435)Termination reason: Refutation
% 9.06/2.13 % (2225435)Time elapsed: 0.801 s
% 9.06/2.13 % (2225435)Peak memory usage: 140 MB
% 9.06/2.13 % (2225435)Instructions burned: 1234 (million)
% 9.06/2.13 % (2225435)------------------------------
% 9.06/2.13 % (2225435)------------------------------
% 9.06/2.13 % (2225430)Success in time 1.257 s
% 9.06/2.13 % Vampire exiting
%------------------------------------------------------------------------------