%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL827-1 : 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 : n001.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 12:00:46 PM UTC 2026
% Result : Unsatisfiable 0.81s 0.56s
% Output : Refutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 2 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 6 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f432,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),v_sko__local__XCons__1__1(v_T____,v_a____,v_e____,v_i____))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons_I1_J_1) ).
fof(f437,axiom,
! [X0] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f444,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f561,plain,
! [X0] :
( ~ v_thesis____
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),X0)) ),
inference(consistent_polarity_flipping,[],[f437]) ).
fof(f562,plain,
v_thesis____,
inference(consistent_polarity_flipping,[],[f444]) ).
fof(f571,definition,
( spl0_1
<=> ! [X0] : ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f572,plain,
( ! [X0] : ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),X0))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f578,plain,
spl0_2,
inference(avatar_split_clause,[],[f562,f574]) ).
fof(f579,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f561,f574,f571]) ).
fof(f2509,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f432,f572]) ).
fof(f2510,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f2509]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f578]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f579]) ).
cnf(s12,plain,
~ spl0_1,
inference(sat_conversion,[],[f2510]) ).
cnf(s13,plain,
~ spl0_2,
inference(rat,[],[s3,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s2,s13]) ).
fof(f2511,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL827-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 17:02:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 0.81/0.56 % (3796187)Will run a generic schedule for satisfiability detection.
% 0.81/0.56 % (3796198)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1888095130:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.81/0.56 % (3796193)% WARNING: option uhcvi not known.
% 0.81/0.56 % (3796193)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3527576806:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.81/0.56 % (3796192)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2650669631_2999 on theBenchmark for (2999ds/0Mi)
% 0.81/0.56 % (3796194)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=240363319:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.81/0.56 % (3796195)dis+10_1_sil=32000:sp=arity:random_seed=1609165924:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.81/0.56 % (3796196)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3374741762:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.81/0.56 % (3796197)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1138808934:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.81/0.56 % (3796198)Instruction limit reached!
% 0.81/0.56 % (3796198)------------------------------
% 0.81/0.56 % (3796198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.56 % (3796198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.56 % (3796198)CaDiCaL version: 2.1.3
% 0.81/0.56 % (3796198)Termination reason: Instruction limit
% 0.81/0.56 % (3796198)Termination phase: Saturation
% 0.81/0.56 % (3796198)Time elapsed: 0.056 s
% 0.81/0.56 % (3796198)Peak memory usage: 13 MB
% 0.81/0.56 % (3796198)Instructions burned: 160 (million)
% 0.81/0.56 % (3796206)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=396417416:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.81/0.56 % (3796195)Instruction limit reached!
% 0.81/0.56 % (3796195)------------------------------
% 0.81/0.56 % (3796195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.56 % (3796195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.56 % (3796195)CaDiCaL version: 2.1.3
% 0.81/0.56 % (3796195)Termination reason: Instruction limit
% 0.81/0.56 % (3796195)Termination phase: Saturation
% 0.81/0.56 % (3796195)Time elapsed: 0.062 s
% 0.81/0.56 % (3796195)Peak memory usage: 12 MB
% 0.81/0.56 % (3796195)Instructions burned: 103 (million)
% 0.81/0.56 % (3796193) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3796187-3796193"...
% 0.81/0.56 % (3796193)...printing done.
% 0.81/0.56 % (3796193)Refutation found. Thanks to Tanya!
% 0.81/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.81/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.81/0.56 % (3796193)------------------------------
% 0.81/0.56 % (3796193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.56 % (3796193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.56 % (3796193)CaDiCaL version: 2.1.3
% 0.81/0.56 % (3796193)Termination reason: Refutation
% 0.81/0.56 % (3796193)Time elapsed: 0.065 s
% 0.81/0.56 % (3796193)Peak memory usage: 14 MB
% 0.81/0.56 % (3796193)Instructions burned: 104 (million)
% 0.81/0.56 % (3796187)Success in time 0.119 s
% 0.81/0.56 % Vampire exiting
%------------------------------------------------------------------------------