%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI727_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 : n017.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 09:33:45 AM UTC 2026
% Result : Theorem 4.87s 1.69s
% Output : Refutation 4.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 typ; 3 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 3 |; 6 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 45 ( 24 atm; 0 fun; 16 num; 5 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 : 7 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 3 con; 0-0 aty)
% Number of variables : 5 ( 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $real ).
tff(f1,conjecture,
! [X0: $real] :
( $is_int(X0)
=> ( $greater(X0,19/5)
| $less(X0,16/5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( $is_int(X0)
=> ( $greater(X0,19/5)
| $less(X0,16/5) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $real] :
( $is_int(X0)
=> ( $less(19/5,X0)
| $less(X0,16/5) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
? [X0: $real] :
( ~ $less(19/5,X0)
& ~ $less(X0,16/5)
& $is_int(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
? [X0: $real] :
( ~ $less(19/5,X0)
& $is_int(X0)
& ~ $less(X0,16/5) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
( ~ $less(19/5,sK0)
& $is_int(sK0)
& ~ $less(sK0,16/5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
tff(f18,plain,
~ $less(sK0,16/5),
inference(cnf_transformation,[],[f17]) ).
tff(f19,plain,
$is_int(sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f20,plain,
~ $less(19/5,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f22,definition,
( spl1_1
<=> $less(sK0,16/5) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f25,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f18,f22]) ).
tff(f27,definition,
( spl1_2
<=> $less(19/5,sK0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f30,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f20,f27]) ).
tff(f32,definition,
( spl1_3
<=> $is_int(sK0) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f35,plain,
spl1_3,
inference(avatar_split_clause,[],[f19,f32]) ).
tff(f36,plain,
$false,
inference(avatar_smt_refutation,[],[f35,f30,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI727_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n017.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 20:56:52 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.29 Running first-order theorem proving
% 0.24/0.29 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
% 4.87/1.69 % (4020458)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.87/1.69 % (4020479)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=278731274:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 4.87/1.69 % (4020479)First to succeed.
% 4.87/1.69 % (4020479)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4020458"
% 4.87/1.69 % (4020476)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2556488897:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 4.87/1.69 % (4020477)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3829821502:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 4.87/1.69 % (4020473)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3197380844:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 4.87/1.69 % (4020475)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3094086781:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 4.87/1.69 % (4020472)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3970287782:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 4.87/1.69 % (4020477)Instruction limit reached!
% 4.87/1.69 % (4020477)------------------------------
% 4.87/1.69 % (4020477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.69 % (4020477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.69 % (4020477)CaDiCaL version: 2.1.3
% 4.87/1.69 % (4020477)Termination reason: Instruction limit
% 4.87/1.69 % (4020477)Termination phase: Saturation
% 4.87/1.69 % (4020477)Time elapsed: 0.005 s
% 4.87/1.69 % (4020477)Peak memory usage: 88 MB
% 4.87/1.69 % (4020477)Instructions burned: 4 (million)
% 4.87/1.69 % (4020476)Instruction limit reached!
% 4.87/1.69 % (4020476)------------------------------
% 4.87/1.69 % (4020476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.69 % (4020476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.69 % (4020476)CaDiCaL version: 2.1.3
% 4.87/1.69 % (4020476)Termination reason: Instruction limit
% 4.87/1.69 % (4020476)Termination phase: Saturation
% 4.87/1.69 % (4020476)Time elapsed: 0.009 s
% 4.87/1.69 % (4020476)Peak memory usage: 88 MB
% 4.87/1.69 % (4020476)Instructions burned: 8 (million)
% 4.87/1.69 % (4020478)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=575801787:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 4.87/1.69 % (4020473)Also succeeded, but the first one will report.
% 4.87/1.69 % (4020472)Also succeeded, but the first one will report.
% 4.87/1.69 % (4020478)Also succeeded, but the first one will report.
% 4.87/1.69 % (4020487)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=170606153:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.87/1.69 % (4020486)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=602835376:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 4.87/1.69 % (4020486)Refutation not found, incomplete strategy
% 4.87/1.69 % (4020486)------------------------------
% 4.87/1.69 % (4020486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.69 % (4020486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.69 % (4020486)CaDiCaL version: 2.1.3
% 4.87/1.69 % (4020486)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.69 % (4020486)Time elapsed: 0.001 s
% 4.87/1.69 % (4020486)Peak memory usage: 88 MB
% 4.87/1.69 % (4020475)Instruction limit reached!
% 4.87/1.69 % (4020475)------------------------------
% 4.87/1.69 % (4020475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.69 % (4020475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.69 % (4020475)CaDiCaL version: 2.1.3
% 4.87/1.69 % (4020475)Termination reason: Instruction limit
% 4.87/1.69 % (4020475)Termination phase: Saturation
% 4.87/1.69 % (4020475)Time elapsed: 0.246 s
% 4.87/1.69 % (4020475)Peak memory usage: 118 MB
% 4.87/1.69 % (4020475)Instructions burned: 201 (million)
% 4.87/1.69 % (4020487)Instruction limit reached!
% 4.87/1.69 % (4020487)------------------------------
% 4.87/1.69 % (4020487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.69 % (4020487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.69 % (4020487)CaDiCaL version: 2.1.3
% 4.87/1.69 % (4020487)Termination reason: Instruction limit
% 4.87/1.69 % (4020487)Termination phase: Saturation
% 4.87/1.69 % (4020487)Time elapsed: 0.026 s
% 4.87/1.69 % (4020487)Peak memory usage: 88 MB
% 4.87/1.69 % (4020487)Instructions burned: 29 (million)
% 4.87/1.69 % (4020479)Refutation found. Thanks to Tanya!
% 4.87/1.69 % SZS status Theorem for theBenchmark
% 4.87/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 4.87/1.69 % (4020479)------------------------------
% 4.87/1.69 % (4020479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.69 % (4020479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.69 % (4020479)CaDiCaL version: 2.1.3
% 4.87/1.69 % (4020479)Termination reason: Refutation
% 4.87/1.69 % (4020479)Time elapsed: 0.033 s
% 4.87/1.69 % (4020479)Peak memory usage: 116 MB
% 4.87/1.69 % (4020479)Instructions burned: 9 (million)
% 4.87/1.69 % (4020479)------------------------------
% 4.87/1.69 % (4020479)------------------------------
% 4.87/1.69 % (4020458)Success in time 0.579 s
% 4.87/1.69 % Vampire exiting
%------------------------------------------------------------------------------