%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI713_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:33:43 AM UTC 2026
% Result : Theorem 2.97s 1.46s
% Output : Refutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 7 unt; 0 typ; 1 def)
% Number of atoms : 9 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 5 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 21 ( 0 atm; 18 fun; 0 num; 3 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 1 usr; 1 con; 0-1 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $real ).
tff(f1,conjecture,
! [X0: $real] : ( $ceiling($ceiling(X0)) = $ceiling(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] : ( $ceiling($ceiling(X0)) = $ceiling(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f16,plain,
? [X0: $real] : ( $ceiling(X0) != $ceiling($ceiling(X0)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f17,plain,
$ceiling(sK0) != $ceiling($ceiling(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
tff(f18,plain,
$ceiling(sK0) != $ceiling($ceiling(sK0)),
inference(cnf_transformation,[],[f17]) ).
tff(f20,definition,
( spl1_1
<=> ( $ceiling(sK0) = $ceiling($ceiling(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f23,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f18,f20]) ).
tff(f24,plain,
$false,
inference(avatar_smt_refutation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI713_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:59:58 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.97/1.46 % (2010467)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.97/1.46 % (2010499)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1656829444:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.97/1.46 % (2010499)First to succeed.
% 2.97/1.46 % (2010499)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2010467"
% 2.97/1.46 % (2010500)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4195057613:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.97/1.46 % (2010504)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1369995770:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.97/1.46 % (2010505)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2896490329:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.97/1.46 % (2010502)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=735838618:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.97/1.46 % (2010505)Instruction limit reached!
% 2.97/1.46 % (2010505)------------------------------
% 2.97/1.46 % (2010505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.46 % (2010505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.46 % (2010505)CaDiCaL version: 2.1.3
% 2.97/1.46 % (2010505)Termination reason: Instruction limit
% 2.97/1.46 % (2010505)Termination phase: Saturation
% 2.97/1.46 % (2010505)Time elapsed: 0.004 s
% 2.97/1.46 % (2010505)Peak memory usage: 88 MB
% 2.97/1.46 % (2010505)Instructions burned: 6 (million)
% 2.97/1.46 % (2010504)Instruction limit reached!
% 2.97/1.46 % (2010504)------------------------------
% 2.97/1.46 % (2010504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.46 % (2010504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.46 % (2010504)CaDiCaL version: 2.1.3
% 2.97/1.46 % (2010504)Termination reason: Instruction limit
% 2.97/1.46 % (2010504)Termination phase: Saturation
% 2.97/1.46 % (2010504)Time elapsed: 0.005 s
% 2.97/1.46 % (2010504)Peak memory usage: 88 MB
% 2.97/1.46 % (2010504)Instructions burned: 8 (million)
% 2.97/1.46 % (2010508)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=211361363:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.97/1.46 % (2010506)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2409302886:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.97/1.46 % (2010506)Also succeeded, but the first one will report.
% 2.97/1.46 % (2010508)Instruction limit reached!
% 2.97/1.46 % (2010508)------------------------------
% 2.97/1.46 % (2010508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.46 % (2010508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.46 % (2010508)CaDiCaL version: 2.1.3
% 2.97/1.46 % (2010508)Termination reason: Instruction limit
% 2.97/1.46 % (2010508)Termination phase: Saturation
% 2.97/1.46 % (2010508)Time elapsed: 0.043 s
% 2.97/1.46 % (2010508)Peak memory usage: 115 MB
% 2.97/1.46 % (2010508)Instructions burned: 34 (million)
% 2.97/1.46 % (2010502)Instruction limit reached!
% 2.97/1.46 % (2010502)------------------------------
% 2.97/1.46 % (2010502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.46 % (2010502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.46 % (2010502)CaDiCaL version: 2.1.3
% 2.97/1.46 % (2010502)Termination reason: Instruction limit
% 2.97/1.46 % (2010502)Termination phase: Saturation
% 2.97/1.46 % (2010502)Time elapsed: 0.118 s
% 2.97/1.46 % (2010502)Peak memory usage: 113 MB
% 2.97/1.46 % (2010502)Instructions burned: 201 (million)
% 2.97/1.46 % (2010559)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2580577337:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.97/1.46 % (2010561)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2916864682:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.97/1.46 % (2010500)Refutation not found, SMT solver inside AVATAR returned Unknown
% 2.97/1.46 % (2010500)------------------------------
% 2.97/1.46 % (2010500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.46 % (2010500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.46 % (2010500)CaDiCaL version: 2.1.3
% 2.97/1.46 % (2010500)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 2.97/1.46 % (2010500)Time elapsed: 0.139 s
% 2.97/1.46 % (2010500)Peak memory usage: 116 MB
% 2.97/1.46 % (2010500)Instructions burned: 222 (million)
% 2.97/1.46 % (2010500)------------------------------
% 2.97/1.46 % (2010500)------------------------------
% 2.97/1.46 % (2010499)Refutation found. Thanks to Tanya!
% 2.97/1.46 % SZS status Theorem for theBenchmark
% 2.97/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 2.97/1.46 % (2010499)------------------------------
% 2.97/1.46 % (2010499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.46 % (2010499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.46 % (2010499)CaDiCaL version: 2.1.3
% 2.97/1.46 % (2010499)Termination reason: Refutation
% 2.97/1.46 % (2010499)Time elapsed: 0.019 s
% 2.97/1.46 % (2010499)Peak memory usage: 115 MB
% 2.97/1.46 % (2010499)Instructions burned: 7 (million)
% 2.97/1.46 % (2010499)------------------------------
% 2.97/1.46 % (2010499)------------------------------
% 2.97/1.46 % (2010467)Success in time 0.513 s
% 2.97/1.46 % Vampire exiting
%------------------------------------------------------------------------------