%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ018-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:55 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.56s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 38
% Syntax : Number of formulae : 136 ( 46 unt; 15 def)
% Number of atoms : 303 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 302 ( 135 ~; 152 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ all_on(X0)
| on(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).
fof(f2,axiom,
! [X0] :
( ~ all_on(X0)
| on(b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_b_on) ).
fof(f3,axiom,
! [X0] :
( ~ all_on(X0)
| on(c,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).
fof(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
fof(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
fof(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
fof(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
fof(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
fof(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
fof(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_tuesday) ).
fof(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).
fof(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).
fof(f39,axiom,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(saturday) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_one_day) ).
fof(f40,axiom,
! [X2,X3,X0,X1,X4] :
( ~ consecutive(X0,X1)
| ~ consecutive(X1,X2)
| ~ consecutive(X2,X3)
| ~ on(X4,X0)
| ~ on(X4,X1)
| ~ on(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_on_for_3_days) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( same_person(X0,X3)
| on(X0,X2)
| on(X3,X1)
| on(X3,X2)
| on(X0,X1)
| same_day(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_off_twice_together) ).
fof(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).
fof(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).
fof(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).
fof(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).
fof(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).
fof(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).
fof(f48,negated_conjecture,
~ all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).
fof(f49,plain,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(saturday) ),
inference(forward_subsumption_resolution,[],[f39,f48]) ).
fof(f51,definition,
( spl0_1
<=> all_on(saturday) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f53,plain,
( all_on(saturday)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f55,definition,
( spl0_2
<=> all_on(thursday) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f57,plain,
( all_on(thursday)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl0_3
<=> all_on(wednesday) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f61,plain,
( all_on(wednesday)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl0_4
<=> all_on(tuesday) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f65,plain,
( all_on(tuesday)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl0_5
<=> all_on(monday) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f69,plain,
( all_on(monday)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl0_6
<=> all_on(sunday) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f73,plain,
( all_on(sunday)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f49,f71,f67,f63,f59,f55,f51]) ).
fof(f75,plain,
( on(a,thursday)
| ~ spl0_2 ),
inference(resolution,[],[f1,f57]) ).
fof(f76,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f75,f44]) ).
fof(f77,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ consecutive(monday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,sunday)
| ~ on(X2,monday)
| ~ on(X2,X0) ),
inference(resolution,[],[f40,f6]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ consecutive(wednesday,X0)
| ~ consecutive(X0,X1)
| ~ on(X2,tuesday)
| ~ on(X2,wednesday)
| ~ on(X2,X0) ),
inference(resolution,[],[f40,f8]) ).
fof(f91,plain,
! [X0,X1] :
( same_day(X1,X0)
| on(b,X1)
| on(b,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f41,f14]) ).
fof(f92,plain,
! [X0,X1] :
( same_day(X1,X0)
| on(c,X1)
| on(c,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f41,f15]) ).
fof(f94,plain,
! [X0,X1] :
( ~ consecutive(tuesday,X0)
| ~ on(X1,sunday)
| ~ on(X1,monday)
| ~ on(X1,tuesday) ),
inference(resolution,[],[f84,f7]) ).
fof(f96,definition,
( spl0_7
<=> ! [X1] :
( ~ on(X1,sunday)
| ~ on(X1,tuesday)
| ~ on(X1,monday) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f97,plain,
( ! [X1] :
( ~ on(X1,tuesday)
| ~ on(X1,sunday)
| ~ on(X1,monday) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_8
<=> ! [X0] : ~ consecutive(tuesday,X0) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0] : ~ consecutive(tuesday,X0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f94,f99,f96]) ).
fof(f110,plain,
! [X0,X1] :
( ~ consecutive(thursday,X0)
| ~ on(X1,tuesday)
| ~ on(X1,wednesday)
| ~ on(X1,thursday) ),
inference(resolution,[],[f86,f9]) ).
fof(f112,definition,
( spl0_11
<=> ! [X1] :
( ~ on(X1,tuesday)
| ~ on(X1,thursday)
| ~ on(X1,wednesday) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f113,plain,
( ! [X1] :
( ~ on(X1,thursday)
| ~ on(X1,tuesday)
| ~ on(X1,wednesday) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,definition,
( spl0_12
<=> ! [X0] : ~ consecutive(thursday,X0) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] : ~ consecutive(thursday,X0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f110,f115,f112]) ).
fof(f122,definition,
( spl0_13
<=> on(c,tuesday) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f123,plain,
( on(c,tuesday)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( ~ on(c,tuesday)
| spl0_13 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f131,definition,
( spl0_15
<=> on(b,tuesday) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f132,plain,
( on(b,tuesday)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f135,definition,
( spl0_16
<=> on(b,monday) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f137,plain,
( ~ on(b,monday)
| spl0_16 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f174,plain,
( on(b,sunday)
| on(b,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(resolution,[],[f91,f21]) ).
fof(f183,plain,
( on(b,tuesday)
| on(b,thursday)
| on(a,tuesday)
| on(a,thursday) ),
inference(resolution,[],[f91,f30]) ).
fof(f197,plain,
( on(b,tuesday)
| on(a,tuesday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f183,f45]) ).
fof(f204,plain,
( on(b,sunday)
| on(a,sunday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f174,f45]) ).
fof(f224,plain,
( on(b,tuesday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f197,f43]) ).
fof(f235,definition,
( spl0_29
<=> on(b,sunday) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f237,plain,
( on(b,sunday)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f239,plain,
( on(b,sunday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f204,f42]) ).
fof(f245,plain,
on(b,tuesday),
inference(forward_subsumption_resolution,[],[f224,f44]) ).
fof(f250,plain,
on(b,sunday),
inference(forward_subsumption_resolution,[],[f239,f44]) ).
fof(f254,plain,
spl0_15,
inference(avatar_split_clause,[],[f245,f131]) ).
fof(f256,plain,
spl0_29,
inference(avatar_split_clause,[],[f250,f235]) ).
fof(f271,plain,
( on(a,tuesday)
| ~ spl0_4 ),
inference(resolution,[],[f65,f1]) ).
fof(f272,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f271,f43]) ).
fof(f273,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f278,plain,
( on(b,monday)
| ~ spl0_5 ),
inference(resolution,[],[f69,f2]) ).
fof(f285,plain,
( on(c,sunday)
| on(c,tuesday)
| on(a,sunday)
| on(a,tuesday) ),
inference(resolution,[],[f92,f19]) ).
fof(f287,plain,
( on(c,sunday)
| on(c,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(resolution,[],[f92,f21]) ).
fof(f306,plain,
( on(c,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f287,f47]) ).
fof(f307,plain,
( on(c,tuesday)
| on(a,sunday)
| on(a,tuesday) ),
inference(forward_subsumption_resolution,[],[f285,f47]) ).
fof(f309,plain,
( on(c,thursday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f306,f42]) ).
fof(f310,plain,
( on(a,sunday)
| on(a,tuesday)
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f307,f124]) ).
fof(f312,plain,
on(c,thursday),
inference(forward_subsumption_resolution,[],[f309,f44]) ).
fof(f313,plain,
( on(a,tuesday)
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f310,f42]) ).
fof(f314,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f313,f43]) ).
fof(f315,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f346,definition,
( spl0_33
<=> on(c,wednesday) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f348,plain,
( on(c,wednesday)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f356,plain,
( ~ on(b,sunday)
| ~ on(b,monday)
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f132,f97]) ).
fof(f357,plain,
( ~ on(b,monday)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f356,f237]) ).
fof(f360,plain,
( $false
| ~ spl0_8 ),
inference(resolution,[],[f100,f8]) ).
fof(f361,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f363,plain,
( ~ spl0_16
| ~ spl0_7
| ~ spl0_15
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f357,f235,f131,f96,f135]) ).
fof(f364,plain,
( $false
| ~ spl0_5
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f278,f137]) ).
fof(f365,plain,
( ~ spl0_5
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f367,plain,
( on(c,sunday)
| ~ spl0_6 ),
inference(resolution,[],[f73,f3]) ).
fof(f372,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f367,f47]) ).
fof(f373,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f375,plain,
( on(c,wednesday)
| ~ spl0_3 ),
inference(resolution,[],[f61,f3]) ).
fof(f378,plain,
( spl0_33
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f375,f59,f346]) ).
fof(f390,plain,
( ~ on(c,tuesday)
| ~ on(c,wednesday)
| ~ spl0_11 ),
inference(resolution,[],[f312,f113]) ).
fof(f391,plain,
( ~ on(c,wednesday)
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f390,f123]) ).
fof(f392,plain,
( $false
| ~ spl0_11
| ~ spl0_13
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f391,f348]) ).
fof(f393,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( on(b,saturday)
| ~ spl0_1 ),
inference(resolution,[],[f53,f2]) ).
fof(f398,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f396,f46]) ).
fof(f399,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f405,plain,
( $false
| ~ spl0_12 ),
inference(resolution,[],[f116,f10]) ).
fof(f406,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f405]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f74]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f77]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f101]) ).
cnf(s5,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s24,plain,
spl0_15,
inference(sat_conversion,[],[f254]) ).
cnf(s26,plain,
spl0_29,
inference(sat_conversion,[],[f256]) ).
cnf(s28,plain,
~ spl0_4,
inference(sat_conversion,[],[f273]) ).
cnf(s32,plain,
spl0_13,
inference(sat_conversion,[],[f315]) ).
cnf(s37,plain,
~ spl0_8,
inference(sat_conversion,[],[f361]) ).
cnf(s38,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f363]) ).
cnf(s39,plain,
( ~ spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f365]) ).
cnf(s41,plain,
~ spl0_6,
inference(sat_conversion,[],[f373]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_33 ),
inference(sat_conversion,[],[f378]) ).
cnf(s45,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_33 ),
inference(sat_conversion,[],[f393]) ).
cnf(s46,plain,
~ spl0_1,
inference(sat_conversion,[],[f399]) ).
cnf(s47,plain,
~ spl0_12,
inference(sat_conversion,[],[f406]) ).
cnf(s50,plain,
spl0_11,
inference(rat,[],[s5,s47]) ).
cnf(s51,plain,
~ spl0_33,
inference(rat,[],[s45,s32,s50]) ).
cnf(s52,plain,
~ spl0_3,
inference(rat,[],[s42,s51]) ).
cnf(s54,plain,
spl0_7,
inference(rat,[],[s3,s37]) ).
cnf(s55,plain,
~ spl0_16,
inference(rat,[],[s38,s26,s24,s54]) ).
cnf(s56,plain,
~ spl0_5,
inference(rat,[],[s39,s55]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s1,s41,s56,s28,s52,s2,s46]) ).
fof(f407,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ018-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.45 % Computer : n019.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 27 22:30:03 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.50 Running first-order model finding
% 0.24/0.50 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.56 % (3478588)Will run a generic schedule for satisfiability detection.
% 0.24/0.56 % (3478598)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3355856861:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.56 % (3478598) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3478588-3478598"...
% 0.24/0.56 % (3478598)...printing done.
% 0.24/0.56 % (3478594)% WARNING: option uhcvi not known.
% 0.24/0.56 % (3478598)Refutation found. Thanks to Tanya!
% 0.24/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.56 % (3478598)------------------------------
% 0.24/0.56 % (3478598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.56 % (3478598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.56 % (3478598)CaDiCaL version: 2.1.3
% 0.24/0.56 % (3478598)Termination reason: Refutation
% 0.24/0.56 % (3478598)Time elapsed: 0.006 s
% 0.24/0.56 % (3478598)Peak memory usage: 12 MB
% 0.24/0.56 % (3478598)Instructions burned: 9 (million)
% 0.24/0.56 % (3478588)Success in time 0.041 s
% 0.24/0.56 % Vampire exiting
%------------------------------------------------------------------------------