%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT013+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 : n008.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 09:06:35 AM UTC 2026
% Result : Theorem 7.28s 1.89s
% Output : Refutation 9.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 95 ( 44 unt; 2 def)
% Number of atoms : 208 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 205 ( 92 ~; 86 |; 19 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( accept_population(X0,X3,X1)
& less(X2,X1) )
=> accept_population(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(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(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(f661,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
fof(f662,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).
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(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f899,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f906,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
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,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_13) ).
fof(f924,negated_conjecture,
~ ~ accept_population(muslimcountrybhumanitarianorganization,christian,n25),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f925,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n25),
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(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(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(f1943,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f1948,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f899]) ).
fof(f1955,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f906]) ).
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,n25),
inference(cnf_transformation,[],[f925]) ).
fof(f1974,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,[],[f1040,f1411]) ).
fof(f1975,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1974,f1522]) ).
fof(f1976,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(forward_subsumption_resolution,[],[f1975,f1521]) ).
fof(f1977,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
inference(forward_subsumption_resolution,[],[f1976,f1684]) ).
fof(f1979,definition,
( spl0_1
<=> accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1981,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| spl0_1 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f1983,definition,
( spl0_2
<=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1985,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| spl0_2 ),
inference(avatar_component_clause,[],[f1983]) ).
fof(f1986,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1977,f1983,f1979]) ).
fof(f1990,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(f1993,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1964,f1943]) ).
fof(f1997,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1948,f1964]) ).
fof(f2004,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,f1990]) ).
fof(f2005,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,[],[f2004,f1993]) ).
fof(f2009,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
| rdn_positive_less(rdnn(X0),rdnn(n8)) ),
inference(resolution,[],[f1960,f1958]) ).
fof(f2015,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
| rdn_positive_less(rdnn(X0),rdnn(n7)) ),
inference(resolution,[],[f1960,f1957]) ).
fof(f2020,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(resolution,[],[f2015,f1956]) ).
fof(f2021,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(resolution,[],[f2020,f2009]) ).
fof(f2031,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
| ~ less(X0,n78) ),
inference(resolution,[],[f987,f1524]) ).
fof(f2036,plain,
! [X0] :
( accept_population(muslimcountrybhumanitarianorganization,christian,X0)
| ~ less(X0,n25) ),
inference(resolution,[],[f987,f1972]) ).
fof(f2045,plain,
( ~ less(n24,n25)
| spl0_1 ),
inference(resolution,[],[f2036,f1981]) ).
fof(f2099,plain,
( less(n24,n25)
| ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
inference(resolution,[],[f1710,f2005]) ).
fof(f2102,plain,
( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2099,f2045]) ).
fof(f2103,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2102,f1955]) ).
fof(f2104,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2103]) ).
fof(f2108,plain,
( ~ less(n75,n78)
| spl0_2 ),
inference(resolution,[],[f1985,f2031]) ).
fof(f2313,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(f2324,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,[],[f2313,f1962]) ).
fof(f2326,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,[],[f2324,f1997]) ).
fof(f2328,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(resolution,[],[f2326,f1761]) ).
fof(f2331,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2328,f2108]) ).
fof(f2332,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2331,f2021]) ).
fof(f2333,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2332]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1986]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f2104]) ).
cnf(s11,plain,
spl0_2,
inference(sat_conversion,[],[f2333]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s11,s2]) ).
fof(f2334,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT013+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:11:10 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 5.15/1.44 % (2538561)Detected formulas, will run a generic FOF schedule.
% 5.15/1.44 % (2538570)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3480022732:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.15/1.44 % (2538570)Refutation not found, incomplete strategy
% 5.15/1.44 % (2538570)------------------------------
% 5.15/1.44 % (2538570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.44 % (2538570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.44 % (2538570)CaDiCaL version: 2.1.3
% 5.15/1.44 % (2538570)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.44 % (2538570)Time elapsed: 0.003 s
% 5.15/1.44 % (2538570)Peak memory usage: 88 MB
% 5.15/1.44 % (2538570)Instructions burned: 11 (million)
% 5.15/1.44 % (2538567)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=494189305:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.15/1.44 % (2538569)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1721125686:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.15/1.44 % (2538569)Refutation not found, incomplete strategy
% 5.15/1.44 % (2538569)------------------------------
% 5.15/1.44 % (2538569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.44 % (2538569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.44 % (2538569)CaDiCaL version: 2.1.3
% 5.15/1.44 % (2538569)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.44 % (2538569)Time elapsed: 0.002 s
% 5.15/1.44 % (2538569)Peak memory usage: 87 MB
% 5.15/1.44 % (2538569)Instructions burned: 2 (million)
% 5.15/1.44 % (2538566)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=447583672:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.15/1.44 % (2538568)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=436213715:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.15/1.44 % (2538572)dis-21_1_sil=8000:lcm=predicate:random_seed=2200961023: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)
% 5.15/1.44 % (2538571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1881707152:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.15/1.44 % (2538572)Instruction limit reached!
% 5.15/1.44 % (2538572)------------------------------
% 5.15/1.44 % (2538572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.44 % (2538572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.44 % (2538572)CaDiCaL version: 2.1.3
% 5.15/1.44 % (2538572)Termination reason: Instruction limit
% 5.15/1.44 % (2538572)Termination phase: Saturation
% 5.15/1.44 % (2538572)Time elapsed: 0.063 s
% 5.15/1.44 % (2538572)Peak memory usage: 91 MB
% 5.15/1.44 % (2538572)Instructions burned: 130 (million)
% 5.15/1.44 % (2538571)Instruction limit reached!
% 5.15/1.44 % (2538571)------------------------------
% 5.15/1.44 % (2538571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.44 % (2538571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.44 % (2538571)CaDiCaL version: 2.1.3
% 5.15/1.44 % (2538571)Termination reason: Instruction limit
% 5.15/1.44 % (2538571)Termination phase: Saturation
% 5.15/1.44 % (2538571)Time elapsed: 0.104 s
% 5.15/1.44 % (2538571)Peak memory usage: 90 MB
% 5.15/1.44 % (2538571)Instructions burned: 139 (million)
% 5.15/1.44 % (2538570)------------------------------
% 5.15/1.44 % (2538570)------------------------------
% 5.15/1.44 % (2538580)lrs+10_1_sil=8000:sp=occurrence:random_seed=777560782:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.15/1.44 % (2538580)Refutation not found, incomplete strategy
% 5.15/1.44 % (2538580)------------------------------
% 5.15/1.44 % (2538580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.44 % (2538580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.44 % (2538580)CaDiCaL version: 2.1.3
% 5.15/1.44 % (2538580)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.44 % (2538580)Time elapsed: 0.009 s
% 5.15/1.44 % (2538580)Peak memory usage: 89 MB
% 7.28/1.81 % (2538580)Instructions burned: 17 (million)
% 7.28/1.81 % (2538582)lrs+1011_1_sil=32000:sp=occurrence:random_seed=934389295:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.28/1.81 % (2538582)Refutation not found, incomplete strategy
% 7.28/1.81 % (2538582)------------------------------
% 7.28/1.81 % (2538582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.81 % (2538582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.81 % (2538582)CaDiCaL version: 2.1.3
% 7.28/1.81 % (2538582)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.81 % (2538582)Time elapsed: 0.001 s
% 7.28/1.81 % (2538582)Peak memory usage: 88 MB
% 7.28/1.81 % (2538582)Instructions burned: 3 (million)
% 7.28/1.81 % (2538569)------------------------------
% 7.28/1.81 % (2538569)------------------------------
% 7.28/1.81 % (2538581)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2367479193:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.28/1.81 % (2538581)Refutation not found, incomplete strategy
% 7.28/1.81 % (2538581)------------------------------
% 7.28/1.81 % (2538581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.81 % (2538581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.81 % (2538581)CaDiCaL version: 2.1.3
% 7.28/1.81 % (2538581)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.81 % (2538581)Time elapsed: 0.005 s
% 7.28/1.81 % (2538581)Peak memory usage: 88 MB
% 7.28/1.81 % (2538581)Instructions burned: 8 (million)
% 7.28/1.81 % (2538582)------------------------------
% 7.28/1.81 % (2538582)------------------------------
% 7.28/1.81 % (2538585)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=714875989:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.28/1.81 [W928 19:11:11.889207634 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.
% 7.28/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.81 [W928 19:11:11.889236058 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.
% 7.28/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.81 [W928 19:11:11.889275814 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.
% 7.28/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.81 [W928 19:11:11.889288688 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.
% 7.28/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.81 [W928 19:11:11.889314601 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.
% 7.28/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.81 [W928 19:11:11.889325944 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.
% 7.28/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.81 [W928 19:11:11.889351761 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.
% 7.28/1.81 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.81 [W928 19:11:11.889363098 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.
% 7.28/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.89 [W928 19:11:11.889387754 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.
% 7.28/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.89 [W928 19:11:11.889397971 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.
% 7.28/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.89 [W928 19:11:11.889421345 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.
% 7.28/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.89 [W928 19:11:11.889480251 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.
% 7.28/1.89 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.28/1.89 % (2538580)------------------------------
% 7.28/1.89 % (2538580)------------------------------
% 7.28/1.89 % (2538587)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=984701459:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.28/1.89 % (2538587)Refutation not found, incomplete strategy
% 7.28/1.89 % (2538587)------------------------------
% 7.28/1.89 % (2538587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538587)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538587)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.89 % (2538587)Time elapsed: 0.004 s
% 7.28/1.89 % (2538587)Peak memory usage: 88 MB
% 7.28/1.89 % (2538587)Instructions burned: 12 (million)
% 7.28/1.89 % (2538581)------------------------------
% 7.28/1.89 % (2538581)------------------------------
% 7.28/1.89 % (2538585)Instruction limit reached!
% 7.28/1.89 % (2538585)------------------------------
% 7.28/1.89 % (2538585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538585)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538585)Termination reason: Instruction limit
% 7.28/1.89 % (2538585)Termination phase: Saturation
% 7.28/1.89 % (2538585)Time elapsed: 0.128 s
% 7.28/1.89 % (2538585)Peak memory usage: 93 MB
% 7.28/1.89 % (2538585)Instructions burned: 250 (million)
% 7.28/1.89 % (2538568)Refutation not found, incomplete strategy
% 7.28/1.89 % (2538568)------------------------------
% 7.28/1.89 % (2538568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538568)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538568)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.89 % (2538568)Time elapsed: 0.569 s
% 7.28/1.89 % (2538568)Peak memory usage: 127 MB
% 7.28/1.89 % (2538568)Instructions burned: 839 (million)
% 7.28/1.89 % (2538589)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1384487561:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.28/1.89 % (2538587)------------------------------
% 7.28/1.89 % (2538587)------------------------------
% 7.28/1.89 % (2538591)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2954688246:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.28/1.89 % (2538591)Refutation not found, incomplete strategy
% 7.28/1.89 % (2538591)------------------------------
% 7.28/1.89 % (2538591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538591)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538591)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.89 % (2538591)Time elapsed: 0.006 s
% 7.28/1.89 % (2538591)Peak memory usage: 89 MB
% 7.28/1.89 % (2538591)Instructions burned: 9 (million)
% 7.28/1.89 % (2538592)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2573481531:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.28/1.89 % (2538594)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=246810160:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.28/1.89 % (2538594)Refutation not found, incomplete strategy
% 7.28/1.89 % (2538594)------------------------------
% 7.28/1.89 % (2538594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538594)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538594)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.89 % (2538594)Time elapsed: 0.012 s
% 7.28/1.89 % (2538594)Peak memory usage: 89 MB
% 7.28/1.89 % (2538594)Instructions burned: 42 (million)
% 7.28/1.89 % (2538592)Instruction limit reached!
% 7.28/1.89 % (2538592)------------------------------
% 7.28/1.89 % (2538592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538592)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538592)Termination reason: Instruction limit
% 7.28/1.89 % (2538592)Termination phase: Saturation
% 7.28/1.89 % (2538592)Time elapsed: 0.061 s
% 7.28/1.89 % (2538592)Peak memory usage: 89 MB
% 7.28/1.89 % (2538592)Instructions burned: 128 (million)
% 7.28/1.89 % (2538567)Refutation not found, incomplete strategy
% 7.28/1.89 % (2538567)------------------------------
% 7.28/1.89 % (2538567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538567)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538567)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.89 % (2538567)Time elapsed: 0.762 s
% 7.28/1.89 % (2538567)Peak memory usage: 131 MB
% 7.28/1.89 % (2538567)Instructions burned: 1136 (million)
% 7.28/1.89 % (2538568)------------------------------
% 7.28/1.89 % (2538568)------------------------------
% 7.28/1.89 % (2538566)First to succeed.
% 7.28/1.89 % (2538566)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2538561"
% 7.28/1.89 % (2538598)lrs+10_1_sil=8000:sp=occurrence:random_seed=1834404376:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.28/1.89 % (2538594)------------------------------
% 7.28/1.89 % (2538594)------------------------------
% 7.28/1.89 % (2538591)------------------------------
% 7.28/1.89 % (2538591)------------------------------
% 7.28/1.89 % (2538598)Refutation not found, incomplete strategy
% 7.28/1.89 % (2538598)------------------------------
% 7.28/1.89 % (2538598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538598)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538598)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.89 % (2538598)Time elapsed: 0.011 s
% 7.28/1.89 % (2538598)Peak memory usage: 89 MB
% 7.28/1.89 % (2538598)Instructions burned: 20 (million)
% 7.28/1.89 % (2538599)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2844476702:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.28/1.89 % (2538599)Refutation not found, incomplete strategy
% 7.28/1.89 % (2538599)------------------------------
% 7.28/1.89 % (2538599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538599)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538599)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.89 % (2538599)Time elapsed: 0.002 s
% 7.28/1.89 % (2538599)Peak memory usage: 87 MB
% 7.28/1.89 % (2538599)Instructions burned: 2 (million)
% 7.28/1.89 % (2538601)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3269716175:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.28/1.89 % (2538567)------------------------------
% 7.28/1.89 % (2538567)------------------------------
% 7.28/1.89 % (2538602)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=243136846:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.28/1.89 % (2538602)Refutation not found, incomplete strategy
% 7.28/1.89 % (2538602)------------------------------
% 7.28/1.89 % (2538602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.89 % (2538602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.89 % (2538602)CaDiCaL version: 2.1.3
% 7.28/1.89 % (2538602)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.89 % (2538602)Time elapsed: 0.008 s
% 7.28/1.89 % (2538602)Peak memory usage: 89 MB
% 7.28/1.89 % (2538602)Instructions burned: 13 (million)
% 7.28/1.89 % (2538566)Refutation found. Thanks to Tanya!
% 7.28/1.89 % SZS status Theorem for theBenchmark
% 7.28/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 9.27/2.09 % (2538566)------------------------------
% 9.27/2.09 % (2538566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.09 % (2538566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.09 % (2538566)CaDiCaL version: 2.1.3
% 9.27/2.09 % (2538566)Termination reason: Refutation
% 9.27/2.09 % (2538566)Time elapsed: 0.818 s
% 9.27/2.09 % (2538566)Peak memory usage: 139 MB
% 9.27/2.09 % (2538566)Instructions burned: 1251 (million)
% 9.27/2.09 % (2538566)------------------------------
% 9.27/2.09 % (2538566)------------------------------
% 9.27/2.09 % (2538561)Success in time 1.244 s
% 9.27/2.09 % Vampire exiting
%------------------------------------------------------------------------------