%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 12:36:46 PM UTC 2026
% Result : Unsatisfiable 3.80s 1.45s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 2 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 7 |; 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(f1219,definition,
( spl1_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,[spl1_1])],[avatar_definition]) ).
fof(f1220,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))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1222,definition,
( spl1_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f1223,plain,
( v_thesis____
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f1225,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f750,f1222,f1219]) ).
fof(f1226,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f1223,f754]) ).
fof(f1227,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f1339,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f746,f1220]) ).
fof(f1340,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f1339]) ).
cnf(s2,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f1225]) ).
cnf(s3,plain,
~ spl1_2,
inference(sat_conversion,[],[f1227]) ).
cnf(s4,plain,
~ spl1_1,
inference(sat_conversion,[],[f1340]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s3,s4]) ).
fof(f1341,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT027-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.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 23:34:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.80/1.45 % (3115357)Input is clausal, will run a generic CNF schedule.
% 3.80/1.45 % (3115366)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4189321642:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.80/1.45 % (3115366)Refutation not found, incomplete strategy
% 3.80/1.45 % (3115366)------------------------------
% 3.80/1.45 % (3115366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.45 % (3115366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.45 % (3115366)CaDiCaL version: 2.1.3
% 3.80/1.45 % (3115366)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.45 % (3115366)Time elapsed: 0.003 s
% 3.80/1.45 % (3115366)Peak memory usage: 89 MB
% 3.80/1.45 % (3115366)Instructions burned: 4 (million)
% 3.80/1.45 % (3115362)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=2193869793:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.80/1.45 % (3115368)dis-21_1_sil=8000:lcm=predicate:random_seed=2622433904:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.80/1.45 % (3115364)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3503465501:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.80/1.45 % (3115365)lrs+10_1_sil=8000:sp=occurrence:random_seed=977248622:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.80/1.45 % (3115363)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1522795355:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.80/1.45 % (3115365)Refutation not found, incomplete strategy
% 3.80/1.45 % (3115365)------------------------------
% 3.80/1.45 % (3115365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.45 % (3115365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.45 % (3115365)CaDiCaL version: 2.1.3
% 3.80/1.45 % (3115365)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.45 % (3115365)Time elapsed: 0.004 s
% 3.80/1.45 % (3115365)Peak memory usage: 88 MB
% 3.80/1.45 % (3115365)Instructions burned: 4 (million)
% 3.80/1.45 % (3115368)First to succeed.
% 3.80/1.45 % (3115368)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3115357"
% 3.80/1.45 % (3115367)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1010592842:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.80/1.45 % (3115367)Also succeeded, but the first one will report.
% 3.80/1.45 % (3115366)------------------------------
% 3.80/1.45 % (3115366)------------------------------
% 3.80/1.45 % (3115365)------------------------------
% 3.80/1.45 % (3115365)------------------------------
% 3.80/1.45 % (3115376)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4203417085:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 3.80/1.45 % (3115376)Refutation not found, incomplete strategy
% 3.80/1.45 % (3115376)------------------------------
% 3.80/1.45 % (3115376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.45 % (3115376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.45 % (3115376)CaDiCaL version: 2.1.3
% 3.80/1.45 % (3115376)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.45 % (3115376)Time elapsed: 0.002 s
% 3.80/1.45 % (3115376)Peak memory usage: 88 MB
% 3.80/1.45 % (3115376)Instructions burned: 3 (million)
% 3.80/1.45 % (3115368)Refutation found. Thanks to Tanya!
% 3.80/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.80/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/1.45 % (3115368)------------------------------
% 3.80/1.45 % (3115368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.45 % (3115368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.45 % (3115368)CaDiCaL version: 2.1.3
% 3.80/1.45 % (3115368)Termination reason: Refutation
% 3.80/1.45 % (3115368)Time elapsed: 0.023 s
% 3.80/1.45 % (3115368)Peak memory usage: 89 MB
% 3.80/1.45 % (3115368)Instructions burned: 46 (million)
% 3.80/1.45 % (3115368)------------------------------
% 3.80/1.45 % (3115368)------------------------------
% 3.80/1.45 % (3115357)Success in time 0.497 s
% 3.80/1.45 % Vampire exiting
%------------------------------------------------------------------------------