%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL838-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:00:48 PM UTC 2026
% Result : Unsatisfiable 0.89s 0.62s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 2 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 6 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-5 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f339,axiom,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2)
| c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__app__typeD_0) ).
fof(f489,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_T_0) ).
fof(f493,axiom,
! [X0] :
( v_thesis____
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f511,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f762,definition,
( spl0_1
<=> ! [X0] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f763,plain,
( ! [X0] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f765,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f769,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f511,f765]) ).
fof(f770,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f493,f765,f762]) ).
fof(f4464,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(v_T_H____,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____),v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(resolution,[],[f339,f489]) ).
fof(f4467,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f4464,f763]) ).
fof(f4468,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f4467]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f769]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f770]) ).
cnf(s27,plain,
~ spl0_1,
inference(sat_conversion,[],[f4468]) ).
cnf(s28,plain,
spl0_2,
inference(rat,[],[s3,s27]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s2,s28]) ).
fof(f4469,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL838-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 16:59:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.89/0.62 % (2620663)Will run a generic schedule for satisfiability detection.
% 0.89/0.62 % (2620668)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=691885120_2999 on theBenchmark for (2999ds/0Mi)
% 0.89/0.62 % (2620669)% WARNING: option uhcvi not known.
% 0.89/0.62 % (2620672)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3968680539:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.89/0.62 % (2620669)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=195024125:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.89/0.62 % (2620670)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1691861463:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.89/0.62 % (2620671)dis+10_1_sil=32000:sp=arity:random_seed=3166938298:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.89/0.62 % (2620673)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3469902708:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.89/0.62 % (2620674)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=890661338:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.89/0.62 % TRYING [1]
% 0.89/0.62 % TRYING [2]
% 0.89/0.62 % (2620671)Instruction limit reached!
% 0.89/0.62 % (2620671)------------------------------
% 0.89/0.62 % (2620671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.62 % (2620671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.62 % (2620671)CaDiCaL version: 2.1.3
% 0.89/0.62 % (2620671)Termination reason: Instruction limit
% 0.89/0.62 % (2620671)Termination phase: Saturation
% 0.89/0.62 % (2620671)Time elapsed: 0.064 s
% 0.89/0.62 % (2620671)Peak memory usage: 12 MB
% 0.89/0.62 % (2620671)Instructions burned: 104 (million)
% 0.89/0.62 % TRYING [3]
% 0.89/0.62 % (2620672)Instruction limit reached!
% 0.89/0.62 % (2620672)------------------------------
% 0.89/0.62 % (2620672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.62 % (2620672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.62 % (2620672)CaDiCaL version: 2.1.3
% 0.89/0.62 % (2620672)Termination reason: Instruction limit
% 0.89/0.62 % (2620672)Termination phase: Saturation
% 0.89/0.62 % (2620672)Time elapsed: 0.075 s
% 0.89/0.62 % (2620672)Peak memory usage: 13 MB
% 0.89/0.62 % (2620672)Instructions burned: 117 (million)
% 0.89/0.62 % (2620673)Instruction limit reached!
% 0.89/0.62 % (2620673)------------------------------
% 0.89/0.62 % (2620673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.62 % (2620673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.62 % (2620673)CaDiCaL version: 2.1.3
% 0.89/0.62 % (2620673)Termination reason: Instruction limit
% 0.89/0.62 % (2620673)Termination phase: Saturation
% 0.89/0.62 % (2620673)Time elapsed: 0.084 s
% 0.89/0.62 % (2620673)Peak memory usage: 13 MB
% 0.89/0.62 % (2620673)Instructions burned: 131 (million)
% 0.89/0.62 % (2620682)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1600808880:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.89/0.62 % (2620683)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4094384489:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.89/0.62 % (2620674)Instruction limit reached!
% 0.89/0.62 % (2620674)------------------------------
% 0.89/0.62 % (2620674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.62 % (2620674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.62 % (2620674)CaDiCaL version: 2.1.3
% 0.89/0.62 % (2620674)Termination reason: Instruction limit
% 0.89/0.62 % (2620674)Termination phase: Saturation
% 0.89/0.62 % (2620674)Time elapsed: 0.099 s
% 0.89/0.62 % (2620674)Peak memory usage: 14 MB
% 0.89/0.62 % (2620674)Instructions burned: 160 (million)
% 0.89/0.62 % (2620685)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=1540419476:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.89/0.62 % (2620687)ott-21_1_sil=16000:fs=off:random_seed=1716754472:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.89/0.62 % (2620669) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2620663-2620669"...
% 0.89/0.62 % (2620669)...printing done.
% 0.89/0.62 % (2620669)Refutation found. Thanks to Tanya!
% 0.89/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.89/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.62 % (2620669)------------------------------
% 0.89/0.62 % (2620669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.62 % (2620669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.62 % (2620669)CaDiCaL version: 2.1.3
% 0.89/0.62 % (2620669)Termination reason: Refutation
% 0.89/0.62 % (2620669)Time elapsed: 0.130 s
% 0.89/0.62 % (2620669)Peak memory usage: 14 MB
% 0.89/0.62 % (2620669)Instructions burned: 201 (million)
% 0.89/0.62 % (2620663)Success in time 0.19 s
% 0.89/0.62 % Vampire exiting
%------------------------------------------------------------------------------