%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI714_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 : 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 3.60s 1.25s
% Output : Refutation 3.60s
% 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 : 39 ( 0 atm; 24 fun; 12 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 : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $real ).
tff(f1,conjecture,
! [X0: $real] : ( $floor($sum(X0,1/1)) = $sum($floor(X0),1/1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] : ( $floor($sum(X0,1/1)) = $sum($floor(X0),1/1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f16,plain,
? [X0: $real] : ( $floor($sum(X0,1/1)) != $sum($floor(X0),1/1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f17,plain,
$sum($floor(sK0),1/1) != $floor($sum(sK0,1/1)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
tff(f18,plain,
$sum($floor(sK0),1/1) != $floor($sum(sK0,1/1)),
inference(cnf_transformation,[],[f17]) ).
tff(f20,definition,
( spl1_1
<=> ( $sum($floor(sK0),1/1) = $floor($sum(sK0,1/1)) ) ),
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 : ARI714_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:59:58 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.60/1.25 % (2010319)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.60/1.25 % (2010397)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=630998081:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.60/1.25 % (2010395)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=743828146:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.60/1.25 % (2010400)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=626159211:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.60/1.25 % (2010405)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3136565839:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.60/1.25 % (2010403)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2365210402:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.60/1.25 % (2010401)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3865890461:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.60/1.25 % (2010401)Instruction limit reached!
% 3.60/1.25 % (2010401)------------------------------
% 3.60/1.25 % (2010401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.25 % (2010401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.25 % (2010401)CaDiCaL version: 2.1.3
% 3.60/1.25 % (2010401)Termination reason: Instruction limit
% 3.60/1.25 % (2010401)Termination phase: Saturation
% 3.60/1.25 % (2010401)Time elapsed: 0.004 s
% 3.60/1.25 % (2010401)Peak memory usage: 88 MB
% 3.60/1.25 % (2010401)Instructions burned: 5 (million)
% 3.60/1.25 % (2010400)Instruction limit reached!
% 3.60/1.25 % (2010400)------------------------------
% 3.60/1.25 % (2010400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.25 % (2010400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.25 % (2010400)CaDiCaL version: 2.1.3
% 3.60/1.25 % (2010400)Termination reason: Instruction limit
% 3.60/1.25 % (2010400)Termination phase: Saturation
% 3.60/1.25 % (2010400)Time elapsed: 0.005 s
% 3.60/1.25 % (2010400)Peak memory usage: 88 MB
% 3.60/1.25 % (2010400)Instructions burned: 7 (million)
% 3.60/1.25 % (2010395)First to succeed.
% 3.60/1.25 % (2010395)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2010319"
% 3.60/1.25 % (2010398)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2440515404:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.60/1.25 % (2010403)Also succeeded, but the first one will report.
% 3.60/1.25 % (2010405)Instruction limit reached!
% 3.60/1.25 % (2010405)------------------------------
% 3.60/1.25 % (2010405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.25 % (2010405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.25 % (2010405)CaDiCaL version: 2.1.3
% 3.60/1.25 % (2010405)Termination reason: Instruction limit
% 3.60/1.25 % (2010405)Termination phase: Saturation
% 3.60/1.25 % (2010405)Time elapsed: 0.042 s
% 3.60/1.25 % (2010405)Peak memory usage: 115 MB
% 3.60/1.25 % (2010405)Instructions burned: 35 (million)
% 3.60/1.25 % (2010454)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=1022963995:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.60/1.25 % (2010454)Instruction limit reached!
% 3.60/1.25 % (2010454)------------------------------
% 3.60/1.25 % (2010454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.25 % (2010454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.25 % (2010454)CaDiCaL version: 2.1.3
% 3.60/1.25 % (2010454)Termination reason: Instruction limit
% 3.60/1.25 % (2010454)Termination phase: Saturation
% 3.60/1.25 % (2010454)Time elapsed: 0.008 s
% 3.60/1.25 % (2010454)Peak memory usage: 88 MB
% 3.60/1.25 % (2010454)Instructions burned: 30 (million)
% 3.60/1.25 % (2010453)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1244927830:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.60/1.25 % (2010453)Refutation not found, incomplete strategy
% 3.60/1.25 % (2010453)------------------------------
% 3.60/1.25 % (2010453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.25 % (2010453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.25 % (2010453)CaDiCaL version: 2.1.3
% 3.60/1.25 % (2010453)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.25 % (2010453)Time elapsed: 0.001 s
% 3.60/1.25 % (2010453)Peak memory usage: 88 MB
% 3.60/1.25 % (2010398)Instruction limit reached!
% 3.60/1.25 % (2010398)------------------------------
% 3.60/1.25 % (2010398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.25 % (2010398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.25 % (2010398)CaDiCaL version: 2.1.3
% 3.60/1.25 % (2010398)Termination reason: Instruction limit
% 3.60/1.25 % (2010398)Termination phase: Saturation
% 3.60/1.25 % (2010398)Time elapsed: 0.140 s
% 3.60/1.25 % (2010398)Peak memory usage: 114 MB
% 3.60/1.25 % (2010398)Instructions burned: 201 (million)
% 3.60/1.25 % (2010397)Instruction limit reached!
% 3.60/1.25 % (2010397)------------------------------
% 3.60/1.25 % (2010397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.25 % (2010397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.25 % (2010397)CaDiCaL version: 2.1.3
% 3.60/1.25 % (2010397)Termination reason: Instruction limit
% 3.60/1.25 % (2010397)Termination phase: Saturation
% 3.60/1.25 % (2010397)Time elapsed: 0.192 s
% 3.60/1.25 % (2010397)Peak memory usage: 115 MB
% 3.60/1.25 % (2010397)Instructions burned: 308 (million)
% 3.60/1.25 % (2010462)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2155436656:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.60/1.25 % (2010462)Also succeeded, but the first one will report.
% 3.60/1.25 % (2010395)Refutation found. Thanks to Tanya!
% 3.60/1.25 % SZS status Theorem for theBenchmark
% 3.60/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.25 % (2010395)------------------------------
% 3.60/1.25 % (2010395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.25 % (2010395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.25 % (2010395)CaDiCaL version: 2.1.3
% 3.60/1.25 % (2010395)Termination reason: Refutation
% 3.60/1.25 % (2010395)Time elapsed: 0.030 s
% 3.60/1.25 % (2010395)Peak memory usage: 115 MB
% 3.60/1.25 % (2010395)Instructions burned: 7 (million)
% 3.60/1.25 % (2010395)------------------------------
% 3.60/1.25 % (2010395)------------------------------
% 3.60/1.25 % (2010319)Success in time 0.453 s
% 3.60/1.25 % Vampire exiting
%------------------------------------------------------------------------------