%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT027-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:37:24 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 2 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f746,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linear__alt_0) ).
fof(f750,axiom,
! [X0] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X0),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f754,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1001,definition,
( spl0_1
<=> ! [X0] : ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X0),c_Arrow__Order__Mirabelle_OLin)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1002,plain,
( ! [X0] : ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1004,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1008,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f754,f1004]) ).
fof(f1009,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f750,f1004,f1001]) ).
fof(f1122,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f746,f1002]) ).
fof(f1123,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1122]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f1008]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f1123]) ).
cnf(s5,plain,
spl0_2,
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f1124,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT027-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 23:35:33 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
% 0.21/0.50 % (3115762)Will run a generic schedule for satisfiability detection.
% 0.21/0.50 % (3115767)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2052788404_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.50 % (3115768)% WARNING: option uhcvi not known.
% 0.21/0.50 % (3115768)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1059523018:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.50 % (3115769)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2701501379:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.50 % (3115770)dis+10_1_sil=32000:sp=arity:random_seed=145125692:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.50 % (3115771)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=739919961:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.50 % (3115772)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2531419509:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.50 % (3115773)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=98790211:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.50 % (3115768) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3115762-3115768"...
% 0.21/0.50 % (3115770) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3115762-3115770"...
% 0.21/0.50 % (3115768)...printing done.
% 0.21/0.50 % (3115768)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (3115768)------------------------------
% 0.21/0.50 % (3115768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.50 % (3115768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.50 % (3115768)CaDiCaL version: 2.1.3
% 0.21/0.50 % (3115768)Termination reason: Refutation
% 0.21/0.50 % (3115768)Time elapsed: 0.020 s
% 0.21/0.50 % (3115768)Peak memory usage: 13 MB
% 0.21/0.50 % (3115768)Instructions burned: 33 (million)
% 0.21/0.50 % (3115762)Success in time 0.081 s
% 0.21/0.50 % Vampire exiting
%------------------------------------------------------------------------------