%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI720_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 09:33:44 AM UTC 2026
% Result : Theorem 3.73s 1.30s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 9 unt; 0 typ; 1 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 66 ( 8 atm; 36 fun; 18 num; 4 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 : 4 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 3 !; 1 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $real ).
tff(f1,conjecture,
! [X0: $real] : $greater($floor($sum(X0,1/2)),$floor($sum(X0,-1/2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] : $greater($floor($sum(X0,1/2)),$floor($sum(X0,-1/2))),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $real] : $less($floor($sum(X0,-1/2)),$floor($sum(X0,1/2))),
inference(theory_normalization,[],[f2]) ).
tff(f17,plain,
? [X0: $real] : ~ $less($floor($sum(X0,-1/2)),$floor($sum(X0,1/2))),
inference(ennf_transformation,[],[f3]) ).
tff(f18,plain,
~ $less($floor($sum(sK0,-1/2)),$floor($sum(sK0,1/2))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17]) ).
tff(f19,plain,
~ $less($floor($sum(sK0,-1/2)),$floor($sum(sK0,1/2))),
inference(cnf_transformation,[],[f18]) ).
tff(f20,plain,
~ $less(0/1,$sum($floor($sum(sK0,1/2)),$uminus($floor($sum(sK0,-1/2))))),
inference(evaluation,[],[f19]) ).
tff(f22,definition,
( spl1_1
<=> $less(0/1,$sum($floor($sum(sK0,1/2)),$uminus($floor($sum(sK0,-1/2))))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f25,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f20,f22]) ).
tff(f26,plain,
$false,
inference(avatar_smt_refutation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI720_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:07:19 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.73/1.30 % (744355)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.73/1.30 % (744364)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=673344894:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.73/1.30 % (744364)Instruction limit reached!
% 3.73/1.30 % (744364)------------------------------
% 3.73/1.30 % (744364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.30 % (744364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.30 % (744364)CaDiCaL version: 2.1.3
% 3.73/1.30 % (744364)Termination reason: Instruction limit
% 3.73/1.30 % (744364)Termination phase: Saturation
% 3.73/1.30 % (744364)Time elapsed: 0.002 s
% 3.73/1.30 % (744364)Peak memory usage: 88 MB
% 3.73/1.30 % (744364)Instructions burned: 4 (million)
% 3.73/1.30 % (744361)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3231080348:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.73/1.30 % (744363)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2751023805:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.73/1.30 % (744360)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2211045711:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.73/1.30 % (744362)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1762268203:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.73/1.30 % (744363)Instruction limit reached!
% 3.73/1.30 % (744363)------------------------------
% 3.73/1.30 % (744363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.30 % (744363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.30 % (744363)CaDiCaL version: 2.1.3
% 3.73/1.30 % (744363)Termination reason: Instruction limit
% 3.73/1.30 % (744363)Termination phase: Saturation
% 3.73/1.30 % (744363)Time elapsed: 0.005 s
% 3.73/1.30 % (744363)Peak memory usage: 88 MB
% 3.73/1.30 % (744363)Instructions burned: 8 (million)
% 3.73/1.30 % (744365)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1711816508:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.73/1.30 % (744366)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3971381788:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.73/1.30 % (744360)First to succeed.
% 3.73/1.30 % (744360)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-744355"
% 3.73/1.30 % (744361)Also succeeded, but the first one will report.
% 3.73/1.30 % (744365)Also succeeded, but the first one will report.
% 3.73/1.30 % (744366)Also succeeded, but the first one will report.
% 3.73/1.30 % (744368)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3616333080:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.73/1.30 % (744368)Refutation not found, incomplete strategy
% 3.73/1.30 % (744368)------------------------------
% 3.73/1.30 % (744368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.30 % (744368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.30 % (744368)CaDiCaL version: 2.1.3
% 3.73/1.30 % (744368)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.30 % (744368)Time elapsed: 0.0000 s
% 3.73/1.30 % (744368)Peak memory usage: 88 MB
% 3.73/1.30 % (744375)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=2072175021:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.73/1.30 % (744362)Instruction limit reached!
% 3.73/1.30 % (744362)------------------------------
% 3.73/1.30 % (744362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.30 % (744362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.30 % (744362)CaDiCaL version: 2.1.3
% 3.73/1.30 % (744362)Termination reason: Instruction limit
% 3.73/1.30 % (744362)Termination phase: Saturation
% 3.73/1.30 % (744362)Time elapsed: 0.166 s
% 3.73/1.30 % (744362)Peak memory usage: 117 MB
% 3.73/1.30 % (744362)Instructions burned: 201 (million)
% 3.73/1.30 % (744375)Instruction limit reached!
% 3.73/1.30 % (744375)------------------------------
% 3.73/1.30 % (744375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.30 % (744375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.30 % (744375)CaDiCaL version: 2.1.3
% 3.73/1.30 % (744375)Termination reason: Instruction limit
% 3.73/1.30 % (744375)Termination phase: Saturation
% 3.73/1.30 % (744375)Time elapsed: 0.015 s
% 3.73/1.30 % (744375)Peak memory usage: 88 MB
% 3.73/1.30 % (744375)Instructions burned: 30 (million)
% 3.73/1.30 % (744368)------------------------------
% 3.73/1.30 % (744368)------------------------------
% 3.73/1.30 % (744360)Refutation found. Thanks to Tanya!
% 3.73/1.30 % SZS status Theorem for theBenchmark
% 3.73/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.30 % (744360)------------------------------
% 3.73/1.30 % (744360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.30 % (744360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.30 % (744360)CaDiCaL version: 2.1.3
% 3.73/1.30 % (744360)Termination reason: Refutation
% 3.73/1.30 % (744360)Time elapsed: 0.032 s
% 3.73/1.30 % (744360)Peak memory usage: 115 MB
% 3.73/1.30 % (744360)Instructions burned: 8 (million)
% 3.73/1.30 % (744360)------------------------------
% 3.73/1.30 % (744360)------------------------------
% 3.73/1.30 % (744355)Success in time 0.449 s
% 3.73/1.30 % Vampire exiting
%------------------------------------------------------------------------------