%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL821-1 : 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 : n010.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 12:00:44 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.55s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 10 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-5 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f346,axiom,
! [X2,X3,X0,X1] :
( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
| ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__app__typeE_1) ).
fof(f426,axiom,
! [X0] :
( v_thesis____
| ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f427,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nT_0) ).
fof(f430,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f649,plain,
! [X2,X3,X0,X1] :
( ~ c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
| c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
inference(consistent_polarity_flipping,[],[f346]) ).
fof(f688,plain,
! [X0] :
( v_thesis____
| c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0) ),
inference(consistent_polarity_flipping,[],[f426]) ).
fof(f689,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(consistent_polarity_flipping,[],[f427]) ).
fof(f709,definition,
( spl0_1
<=> ! [X0] : c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f710,plain,
( ! [X0] : c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f712,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f716,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f430,f712]) ).
fof(f717,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f688,f712,f709]) ).
fof(f1997,plain,
( ! [X0,X1] : c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,X0,v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),X1)
| ~ spl0_1 ),
inference(resolution,[],[f649,f710]) ).
fof(f1998,plain,
( $false
| ~ spl0_1 ),
inference(backward_subsumption_resolution,[],[f689,f1997]) ).
fof(f2000,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1998]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f716]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f717]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f2000]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s3,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6]) ).
fof(f2001,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL821-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n010.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 16:56:47 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 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
% 0.16/0.55 % (1165305)Will run a generic schedule for satisfiability detection.
% 0.16/0.55 % (1165314)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3806420904:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.55 % (1165311)% WARNING: option uhcvi not known.
% 0.16/0.55 % (1165310)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2268734766_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.55 % (1165311)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3418641018:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.55 % (1165316)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2639116799:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.55 % (1165312)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1257336929:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.55 % (1165313)dis+10_1_sil=32000:sp=arity:random_seed=2237380687:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.55 % (1165315)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3170968720:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.55 % (1165314)Instruction limit reached!
% 0.16/0.55 % (1165314)------------------------------
% 0.16/0.55 % (1165314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (1165314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (1165314)CaDiCaL version: 2.1.3
% 0.16/0.55 % (1165314)Termination reason: Instruction limit
% 0.16/0.55 % (1165314)Termination phase: Saturation
% 0.16/0.55 % (1165314)Time elapsed: 0.039 s
% 0.16/0.55 % (1165314)Peak memory usage: 12 MB
% 0.16/0.55 % (1165314)Instructions burned: 117 (million)
% 0.16/0.55 % (1165324)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2407596428:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.55 % (1165311) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1165305-1165311"...
% 0.16/0.55 % (1165311)...printing done.
% 0.16/0.55 % (1165311)Refutation found. Thanks to Tanya!
% 0.16/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56 % (1165311)------------------------------
% 0.16/0.56 % (1165311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (1165311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (1165311)CaDiCaL version: 2.1.3
% 0.16/0.56 % (1165311)Termination reason: Refutation
% 0.16/0.56 % (1165311)Time elapsed: 0.046 s
% 0.16/0.56 % (1165311)Peak memory usage: 13 MB
% 0.16/0.56 % (1165311)Instructions burned: 71 (million)
% 0.16/0.56 % (1165305)Success in time 0.107 s
% 0.16/0.56 % Vampire exiting
%------------------------------------------------------------------------------