%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL839-1 : 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 12:00:48 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 11 unt; 2 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 7 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,axiom,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2)
| c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing__elims_I2_J_1) ).
fof(f436,axiom,
! [X0] :
( v_thesis____
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f439,axiom,
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____),v_Ua____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f440,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f717,plain,
! [X0] :
( ~ v_thesis____
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
inference(consistent_polarity_flipping,[],[f436]) ).
fof(f718,plain,
v_thesis____,
inference(consistent_polarity_flipping,[],[f440]) ).
fof(f728,definition,
( spl0_1
<=> ! [X0] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f729,plain,
( ! [X0] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f731,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f735,plain,
spl0_2,
inference(avatar_split_clause,[],[f718,f731]) ).
fof(f736,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f717,f731,f728]) ).
fof(f1436,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(v_Ua____,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OAbs(v_r____),v_a____)),
inference(resolution,[],[f163,f439]) ).
fof(f1437,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1436,f729]) ).
fof(f1438,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1437]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f735]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f736]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f1438]) ).
cnf(s5,plain,
~ spl0_2,
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f1439,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL839-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n016.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 17:03:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.16/0.51 % (2847461)Will run a generic schedule for satisfiability detection.
% 0.16/0.51 % (2847466)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2783923130_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.51 % (2847467)% WARNING: option uhcvi not known.
% 0.16/0.51 % (2847470)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3682744960:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.51 % (2847467)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3559862247:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.51 % (2847468)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4143400129:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.51 % (2847469)dis+10_1_sil=32000:sp=arity:random_seed=797502184:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.51 % (2847472)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=173840090:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.51 % (2847471)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3333244663:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.51 % (2847467) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2847461-2847467"...
% 0.16/0.51 % (2847467)...printing done.
% 0.16/0.51 % (2847467)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (2847467)------------------------------
% 0.16/0.51 % (2847467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.51 % (2847467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.51 % (2847467)CaDiCaL version: 2.1.3
% 0.16/0.51 % (2847467)Termination reason: Refutation
% 0.16/0.51 % (2847467)Time elapsed: 0.033 s
% 0.16/0.51 % (2847467)Peak memory usage: 13 MB
% 0.16/0.51 % (2847467)Instructions burned: 48 (million)
% 0.16/0.51 % (2847461)Success in time 0.091 s
% 0.16/0.51 % Vampire exiting
%------------------------------------------------------------------------------