%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO146-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:53:42 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 6 unt; 2 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,axiom,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-3.ax',connect_defn_1) ).
fof(f125,axiom,
! [X2,X0,X1] :
( ~ once(at_the_same_time(at(X0,X1),at(X2,X1)))
| connect(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-3.ax',connect_defn_2) ).
fof(f126,axiom,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(at_the_same_time(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-3.ax',symmetry_of_at_the_same_time_3) ).
fof(f138,negated_conjecture,
( connect(sk27,sk28,sk29)
| connect(sk28,sk27,sk29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_156) ).
fof(f141,negated_conjecture,
( ~ connect(sk28,sk27,sk29)
| ~ connect(sk27,sk28,sk29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_159) ).
fof(f153,definition,
( spl0_1
<=> connect(sk27,sk28,sk29) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f154,plain,
( connect(sk27,sk28,sk29)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f155,plain,
( ~ connect(sk27,sk28,sk29)
| spl0_1 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f157,definition,
( spl0_2
<=> connect(sk28,sk27,sk29) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f159,plain,
( ~ connect(sk28,sk27,sk29)
| spl0_2 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f141,f157,f153]) ).
fof(f375,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X1,X2),at(X0,X2)))
| ~ connect(X0,X1,X2) ),
inference(resolution,[],[f124,f126]) ).
fof(f520,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| connect(X1,X0,X2) ),
inference(resolution,[],[f375,f125]) ).
fof(f524,plain,
( connect(sk28,sk27,sk29)
| ~ spl0_1 ),
inference(resolution,[],[f520,f154]) ).
fof(f526,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f524,f159]) ).
fof(f527,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f528,plain,
connect(sk27,sk28,sk29),
inference(forward_subsumption_resolution,[],[f138,f520]) ).
fof(f529,plain,
( $false
| spl0_1 ),
inference(global_subsumption,[],[f155,f528]) ).
fof(f530,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f529]) ).
cnf(s102,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f160]) ).
cnf(s544,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f527]) ).
cnf(s550,plain,
spl0_1,
inference(sat_conversion,[],[f530]) ).
cnf(s551,plain,
spl0_2,
inference(rat,[],[s544,s550]) ).
cnf(s560,plain,
$false,
inference(rat,[],[s102,s551,s550]) ).
fof(f531,plain,
$false,
inference(avatar_sat_refutation,[],[s560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO146-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 07:15:22 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.16/0.46 % (3165663)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3165670)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2468826187:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (3165669)% WARNING: option uhcvi not known.
% 0.16/0.46 % (3165671)dis+10_1_sil=32000:sp=arity:random_seed=443305706:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (3165668)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1030352466_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (3165669)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=811176570:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (3165672)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=271528462:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (3165670) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3165663-3165670"...
% 0.16/0.46 % (3165674)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1692697052:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (3165673)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3958426461:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (3165670)...printing done.
% 0.16/0.46 % (3165670)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (3165670)------------------------------
% 0.16/0.46 % (3165670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3165670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3165670)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3165670)Termination reason: Refutation
% 0.16/0.46 % (3165670)Time elapsed: 0.008 s
% 0.16/0.46 % (3165670)Peak memory usage: 13 MB
% 0.16/0.46 % (3165670)Instructions burned: 18 (million)
% 0.16/0.46 % (3165663)Success in time 0.04 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------