%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI723_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 : n011.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 3.86s 1.30s
% Output : Refutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 17 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 0 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 21 ( 6 atm; 12 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 : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 1 con; 0-1 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $real ).
tff(f1,conjecture,
! [X0: $real] :
( ( $ceiling(X0) = $floor(X0) )
=> $is_int(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $ceiling(X0) = $floor(X0) )
=> $is_int(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f18,plain,
? [X0: $real] :
( ( $ceiling(X0) = $floor(X0) )
& ~ $is_int(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f19,plain,
( ( $floor(sK0) = $ceiling(sK0) )
& ~ $is_int(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18]) ).
tff(f20,plain,
~ $is_int(sK0),
inference(cnf_transformation,[],[f19]) ).
tff(f21,plain,
$floor(sK0) = $ceiling(sK0),
inference(cnf_transformation,[],[f19]) ).
tff(f23,definition,
( spl1_1
<=> $is_int(sK0) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f26,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f20,f23]) ).
tff(f28,definition,
( spl1_2
<=> ( $floor(sK0) = $ceiling(sK0) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f31,plain,
spl1_2,
inference(avatar_split_clause,[],[f21,f28]) ).
tff(f32,plain,
$false,
inference(avatar_smt_refutation,[],[f31,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI723_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:01:31 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 3.74/1.30 % (3781193)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.74/1.30 % (3781202)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=252425225:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.74/1.30 % (3781202)Instruction limit reached!
% 3.74/1.30 % (3781202)------------------------------
% 3.74/1.30 % (3781202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.30 % (3781202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.30 % (3781202)CaDiCaL version: 2.1.3
% 3.74/1.30 % (3781202)Termination reason: Instruction limit
% 3.74/1.30 % (3781202)Termination phase: Saturation
% 3.74/1.30 % (3781202)Time elapsed: 0.002 s
% 3.74/1.30 % (3781202)Peak memory usage: 89 MB
% 3.74/1.30 % (3781202)Instructions burned: 4 (million)
% 3.74/1.30 % (3781201)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2900127356:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.74/1.30 % (3781199)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=672658585:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.74/1.30 % (3781200)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1070712105:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.74/1.30 % (3781198)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3772558886:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.74/1.30 % (3781201)Instruction limit reached!
% 3.74/1.30 % (3781201)------------------------------
% 3.74/1.30 % (3781201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.30 % (3781201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.30 % (3781201)CaDiCaL version: 2.1.3
% 3.74/1.30 % (3781201)Termination reason: Instruction limit
% 3.74/1.30 % (3781201)Termination phase: Saturation
% 3.74/1.30 % (3781201)Time elapsed: 0.005 s
% 3.74/1.30 % (3781201)Peak memory usage: 88 MB
% 3.74/1.30 % (3781201)Instructions burned: 7 (million)
% 3.74/1.30 % (3781203)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2247299938:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.74/1.30 % (3781204)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3652012125:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.74/1.30 % (3781198)First to succeed.
% 3.74/1.30 % (3781199)Also succeeded, but the first one will report.
% 3.74/1.30 % (3781198)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3781193"
% 3.74/1.30 % (3781203)Also succeeded, but the first one will report.
% 3.74/1.30 % (3781204)Also succeeded, but the first one will report.
% 3.74/1.30 % (3781206)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4176340725:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.74/1.30 % (3781206)Refutation not found, incomplete strategy
% 3.74/1.30 % (3781206)------------------------------
% 3.74/1.30 % (3781206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.30 % (3781206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.30 % (3781206)CaDiCaL version: 2.1.3
% 3.74/1.30 % (3781206)Termination reason: Refutation not found, incomplete strategy
% 3.74/1.30 % (3781206)Time elapsed: 0.0000 s
% 3.74/1.30 % (3781206)Peak memory usage: 89 MB
% 3.74/1.30 % (3781200)Instruction limit reached!
% 3.74/1.30 % (3781200)------------------------------
% 3.74/1.30 % (3781200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.30 % (3781200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.30 % (3781200)CaDiCaL version: 2.1.3
% 3.74/1.30 % (3781200)Termination reason: Instruction limit
% 3.74/1.30 % (3781200)Termination phase: Saturation
% 3.74/1.30 % (3781200)Time elapsed: 0.122 s
% 3.74/1.30 % (3781200)Peak memory usage: 116 MB
% 3.74/1.30 % (3781200)Instructions burned: 203 (million)
% 3.74/1.30 % (3781213)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=4006685841:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.74/1.30 % (3781213)Instruction limit reached!
% 3.74/1.30 % (3781213)------------------------------
% 3.74/1.30 % (3781213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.30 % (3781213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.30 % (3781213)CaDiCaL version: 2.1.3
% 3.74/1.30 % (3781213)Termination reason: Instruction limit
% 3.74/1.30 % (3781213)Termination phase: Saturation
% 3.74/1.30 % (3781213)Time elapsed: 0.016 s
% 3.74/1.30 % (3781213)Peak memory usage: 88 MB
% 3.74/1.30 % (3781213)Instructions burned: 31 (million)
% 3.74/1.30 % (3781206)------------------------------
% 3.74/1.30 % (3781206)------------------------------
% 3.74/1.30 % (3781215)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1324249825:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.74/1.30 % (3781215)Refutation not found, incomplete strategy
% 3.74/1.30 % (3781215)------------------------------
% 3.74/1.30 % (3781215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.30 % (3781215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.30 % (3781215)CaDiCaL version: 2.1.3
% 3.74/1.30 % (3781215)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.30 % (3781215)Time elapsed: 0.003 s
% 3.86/1.30 % (3781215)Peak memory usage: 90 MB
% 3.86/1.30 % (3781215)Instructions burned: 1 (million)
% 3.86/1.30 % (3781218)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2125218911:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 3.86/1.30 % (3781218)Refutation not found, incomplete strategy
% 3.86/1.30 % (3781218)------------------------------
% 3.86/1.30 % (3781218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.30 % (3781218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.30 % (3781218)CaDiCaL version: 2.1.3
% 3.86/1.30 % (3781218)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.30 % (3781218)Time elapsed: 0.001 s
% 3.86/1.30 % (3781218)Peak memory usage: 90 MB
% 3.86/1.30 % (3781198)Refutation found. Thanks to Tanya!
% 3.86/1.30 % SZS status Theorem for theBenchmark
% 3.86/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.86/1.30 % (3781198)------------------------------
% 3.86/1.30 % (3781198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.30 % (3781198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.30 % (3781198)CaDiCaL version: 2.1.3
% 3.86/1.30 % (3781198)Termination reason: Refutation
% 3.86/1.30 % (3781198)Time elapsed: 0.032 s
% 3.86/1.30 % (3781198)Peak memory usage: 116 MB
% 3.86/1.30 % (3781198)Instructions burned: 9 (million)
% 3.86/1.30 % (3781198)------------------------------
% 3.86/1.30 % (3781198)------------------------------
% 3.86/1.30 % (3781193)Success in time 0.45 s
% 3.86/1.30 % Vampire exiting
%------------------------------------------------------------------------------