%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI718_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 : n020.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 3.53s 1.03s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 26 ( 5 atm; 10 fun; 7 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
'$inst0': $real ).
tff(f1,conjecture,
? [X0: $real] : $less($floor($sum(X0,1/2)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $less($floor($sum(X0,1/2)),X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f16,plain,
! [X0: $real] : ~ $less($floor($sum(X0,1/2)),X0),
inference(ennf_transformation,[],[f2]) ).
tff(f17,plain,
! [X0: $real] : ~ $less($floor($sum(X0,1/2)),X0),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
~ $less($floor($sum(1/4,1/2)),1/4),
inference(instantiation,[],[f17]) ).
tff(f19,plain,
$false,
inference(interpreted_simplification,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI718_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n020.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 20:59:04 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 3.53/1.03 % (550797)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.53/1.03 % (550872)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1046014285:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.53/1.03 % (550872)Instruction limit reached!
% 3.53/1.03 % (550872)------------------------------
% 3.53/1.03 % (550872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550872)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550872)Termination reason: Instruction limit
% 3.53/1.03 % (550872)Termination phase: Saturation
% 3.53/1.03 % (550872)Time elapsed: 0.026 s
% 3.53/1.03 % (550872)Peak memory usage: 112 MB
% 3.53/1.03 % (550872)Instructions burned: 34 (million)
% 3.53/1.03 % (550865)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3546070684:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.53/1.03 % (550864)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=566729327:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.53/1.03 % (550868)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4182660290:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.53/1.03 % (550869)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=69917305:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.53/1.03 % (550871)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4220103009:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.53/1.03 % (550866)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=314563657:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.53/1.03 % (550869)Instruction limit reached!
% 3.53/1.03 % (550869)------------------------------
% 3.53/1.03 % (550869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550869)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550869)Termination reason: Instruction limit
% 3.53/1.03 % (550869)Termination phase: Saturation
% 3.53/1.03 % (550869)Time elapsed: 0.003 s
% 3.53/1.03 % (550869)Peak memory usage: 88 MB
% 3.53/1.03 % (550869)Instructions burned: 4 (million)
% 3.53/1.03 % (550868)Instruction limit reached!
% 3.53/1.03 % (550868)------------------------------
% 3.53/1.03 % (550868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550868)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550868)Termination reason: Instruction limit
% 3.53/1.03 % (550868)Termination phase: Saturation
% 3.53/1.03 % (550868)Time elapsed: 0.005 s
% 3.53/1.03 % (550868)Peak memory usage: 88 MB
% 3.53/1.03 % (550868)Instructions burned: 8 (million)
% 3.53/1.03 % (550871)Refutation not found, incomplete strategy
% 3.53/1.03 % (550871)------------------------------
% 3.53/1.03 % (550871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550871)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550871)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.03 % (550871)Time elapsed: 0.027 s
% 3.53/1.03 % (550871)Peak memory usage: 110 MB
% 3.53/1.03 % (550871)Instructions burned: 5 (million)
% 3.53/1.03 % (550865)Refutation not found, incomplete strategy
% 3.53/1.03 % (550865)------------------------------
% 3.53/1.03 % (550865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550865)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550865)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.03 % (550865)Time elapsed: 0.027 s
% 3.53/1.03 % (550865)Peak memory usage: 110 MB
% 3.53/1.03 % (550865)Instructions burned: 5 (million)
% 3.53/1.03 % (550864)Instruction limit reached!
% 3.53/1.03 % (550864)------------------------------
% 3.53/1.03 % (550864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550864)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550864)Termination reason: Instruction limit
% 3.53/1.03 % (550864)Termination phase: Saturation
% 3.53/1.03 % (550864)Time elapsed: 0.029 s
% 3.53/1.03 % (550864)Peak memory usage: 112 MB
% 3.53/1.03 % (550864)Instructions burned: 12 (million)
% 3.53/1.03 % (550866)First to succeed.
% 3.53/1.03 % (550866)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-550797"
% 3.53/1.03 % (550895)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3297765082:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.53/1.03 % (550895)Refutation not found, incomplete strategy
% 3.53/1.03 % (550895)------------------------------
% 3.53/1.03 % (550895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550895)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550895)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.03 % (550895)Time elapsed: 0.001 s
% 3.53/1.03 % (550895)Peak memory usage: 88 MB
% 3.53/1.03 % (550902)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=2350821406:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.53/1.03 % (550903)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=361883460:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.53/1.03 % (550903)Also succeeded, but the first one will report.
% 3.53/1.03 % (550902)Instruction limit reached!
% 3.53/1.03 % (550902)------------------------------
% 3.53/1.03 % (550902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550902)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550902)Termination reason: Instruction limit
% 3.53/1.03 % (550902)Termination phase: Saturation
% 3.53/1.03 % (550902)Time elapsed: 0.019 s
% 3.53/1.03 % (550902)Peak memory usage: 88 MB
% 3.53/1.03 % (550902)Instructions burned: 30 (million)
% 3.53/1.03 % (550904)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1404185383:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.53/1.03 % (550904)Instruction limit reached!
% 3.53/1.03 % (550904)------------------------------
% 3.53/1.03 % (550904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550904)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550904)Termination reason: Instruction limit
% 3.53/1.03 % (550904)Termination phase: Saturation
% 3.53/1.03 % (550904)Time elapsed: 0.016 s
% 3.53/1.03 % (550904)Peak memory usage: 89 MB
% 3.53/1.03 % (550904)Instructions burned: 26 (million)
% 3.53/1.03 % (550895)------------------------------
% 3.53/1.03 % (550895)------------------------------
% 3.53/1.03 % (550871)------------------------------
% 3.53/1.03 % (550871)------------------------------
% 3.53/1.03 % (550865)------------------------------
% 3.53/1.03 % (550865)------------------------------
% 3.53/1.03 % (550866)Refutation found. Thanks to Tanya!
% 3.53/1.03 % SZS status Theorem for theBenchmark
% 3.53/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.03 % (550866)------------------------------
% 3.53/1.03 % (550866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.03 % (550866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (550866)CaDiCaL version: 2.1.3
% 3.53/1.03 % (550866)Termination reason: Refutation
% 3.53/1.03 % (550866)Time elapsed: 0.030 s
% 3.53/1.03 % (550866)Peak memory usage: 116 MB
% 3.53/1.03 % (550866)Instructions burned: 7 (million)
% 3.53/1.03 % (550866)------------------------------
% 3.53/1.03 % (550866)------------------------------
% 3.53/1.03 % (550797)Success in time 0.456 s
% 3.53/1.03 % Vampire exiting
%------------------------------------------------------------------------------