%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT042-1 : 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 : 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 12:37:25 PM UTC 2026
% Result : Unsatisfiable 0.50s 0.58s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 8 unt; 2 def)
% Number of atoms : 30 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f791,axiom,
! [X0,X1] :
( c_List_Odistinct(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X0,X1),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_third__alt_0) ).
fof(f796,axiom,
! [X0] :
( v_thesis____
| ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f806,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f807,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f972,definition,
( spl0_1
<=> ! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f973,plain,
( ! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f975,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f977,plain,
( v_thesis____
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f979,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f796,f975,f972]) ).
fof(f986,plain,
( v_a____ = v_b____
| ~ spl0_1 ),
inference(resolution,[],[f791,f973]) ).
fof(f988,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f986,f806]) ).
fof(f989,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f990,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f977,f807]) ).
fof(f991,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f990]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f979]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f989]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f991]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f992,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT042-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:33:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.50/0.58 % (3529434)Will run a generic schedule for satisfiability detection.
% 0.50/0.58 % (3529450)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1316140691_2999 on theBenchmark for (2999ds/0Mi)
% 0.50/0.58 % (3529451)% WARNING: option uhcvi not known.
% 0.50/0.58 % (3529456)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=157783719:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.50/0.58 % (3529455)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3951757567:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.50/0.58 % (3529451)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1454327653:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.50/0.58 % (3529453)dis+10_1_sil=32000:sp=arity:random_seed=3575617639:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.50/0.58 % (3529452)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2033280461:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.50/0.58 % (3529454)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1128273407:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.50/0.58 % TRYING [1]
% 0.50/0.58 % TRYING [2]
% 0.50/0.58 % (3529453)Instruction limit reached!
% 0.50/0.58 % (3529453)------------------------------
% 0.50/0.58 % (3529453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.58 % (3529453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.58 % (3529453)CaDiCaL version: 2.1.3
% 0.50/0.58 % (3529453)Termination reason: Instruction limit
% 0.50/0.58 % (3529453)Termination phase: Saturation
% 0.50/0.58 % (3529453)Time elapsed: 0.068 s
% 0.50/0.58 % (3529453)Peak memory usage: 12 MB
% 0.50/0.58 % (3529453)Instructions burned: 104 (million)
% 0.50/0.58 % (3529454)Instruction limit reached!
% 0.50/0.58 % (3529454)------------------------------
% 0.50/0.58 % (3529454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.58 % (3529454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.58 % (3529454)CaDiCaL version: 2.1.3
% 0.50/0.58 % (3529454)Termination reason: Instruction limit
% 0.50/0.58 % (3529454)Termination phase: Saturation
% 0.50/0.58 % (3529454)Time elapsed: 0.074 s
% 0.50/0.58 % (3529454)Peak memory usage: 13 MB
% 0.50/0.58 % (3529454)Instructions burned: 116 (million)
% 0.50/0.58 % (3529455)Instruction limit reached!
% 0.50/0.58 % (3529455)------------------------------
% 0.50/0.58 % (3529455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.58 % (3529455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.58 % (3529455)CaDiCaL version: 2.1.3
% 0.50/0.58 % (3529455)Termination reason: Instruction limit
% 0.50/0.58 % (3529455)Termination phase: Saturation
% 0.50/0.58 % (3529455)Time elapsed: 0.077 s
% 0.50/0.58 % (3529455)Peak memory usage: 13 MB
% 0.50/0.58 % (3529455)Instructions burned: 132 (million)
% 0.50/0.58 % TRYING [3]
% 0.50/0.58 % (3529479)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=994508115:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.50/0.58 % (3529480)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=963777903:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.50/0.58 % (3529481)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1191000075:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.50/0.58 % (3529481) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3529434-3529481"...
% 0.50/0.58 % (3529481)...printing done.
% 0.50/0.58 % (3529481)Refutation found. Thanks to Tanya!
% 0.50/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.50/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.50/0.58 % (3529481)------------------------------
% 0.50/0.58 % (3529481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.58 % (3529481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.58 % (3529481)CaDiCaL version: 2.1.3
% 0.50/0.58 % (3529481)Termination reason: Refutation
% 0.50/0.58 % (3529481)Time elapsed: 0.013 s
% 0.50/0.58 % (3529481)Peak memory usage: 13 MB
% 0.50/0.58 % (3529481)Instructions burned: 23 (million)
% 0.50/0.58 % (3529434)Success in time 0.169 s
% 0.50/0.58 % Vampire exiting
%------------------------------------------------------------------------------