%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI064_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:32:27 AM UTC 2026
% Result : Theorem 3.73s 1.28s
% Output : Refutation 3.73s
% 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 ( 12 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 : 27 ( 0 atm; 6 fun; 18 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 : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f1,conjecture,
! [X0: $int] :
( ( $sum(X0,3) = 5 )
=> ( X0 = 2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_only_2_3_5) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $sum(X0,3) = 5 )
=> ( X0 = 2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
? [X0: $int] :
( ( 2 != X0 )
& ( $sum(X0,3) = 5 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
( ( 2 != sK0 )
& ( 5 = $sum(sK0,3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15]) ).
tff(f17,plain,
5 = $sum(sK0,3),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
2 != sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f20,definition,
( spl1_1
<=> ( 5 = $sum(sK0,3) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f23,plain,
spl1_1,
inference(avatar_split_clause,[],[f17,f20]) ).
tff(f25,definition,
( spl1_2
<=> ( 2 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f28,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f18,f25]) ).
tff(f29,plain,
$false,
inference(avatar_smt_refutation,[],[f28,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI064_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n004.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:42:07 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 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
% 3.73/1.28 % (735466)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.73/1.28 % (735596)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1493844317:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.73/1.28 % (735596)Instruction limit reached!
% 3.73/1.28 % (735596)------------------------------
% 3.73/1.28 % (735596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.28 % (735596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.28 % (735596)CaDiCaL version: 2.1.3
% 3.73/1.28 % (735596)Termination reason: Instruction limit
% 3.73/1.28 % (735596)Termination phase: Saturation
% 3.73/1.28 % (735596)Time elapsed: 0.003 s
% 3.73/1.28 % (735596)Peak memory usage: 89 MB
% 3.73/1.28 % (735596)Instructions burned: 6 (million)
% 3.73/1.28 % (735594)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3068913456:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.73/1.28 % (735591)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3801952196:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.73/1.28 % (735592)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1508110959:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.73/1.28 % (735590)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2634410885:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.73/1.28 % (735594)Instruction limit reached!
% 3.73/1.28 % (735594)------------------------------
% 3.73/1.28 % (735594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.28 % (735594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.28 % (735594)CaDiCaL version: 2.1.3
% 3.73/1.28 % (735594)Termination reason: Instruction limit
% 3.73/1.28 % (735594)Termination phase: Saturation
% 3.73/1.28 % (735594)Time elapsed: 0.005 s
% 3.73/1.28 % (735594)Peak memory usage: 88 MB
% 3.73/1.28 % (735594)Instructions burned: 7 (million)
% 3.73/1.28 % (735598)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=807768309:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.73/1.28 % (735599)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=975068910:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.73/1.28 % (735590)First to succeed.
% 3.73/1.28 % (735590)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-735466"
% 3.73/1.28 % (735591)Also succeeded, but the first one will report.
% 3.73/1.28 % (735592)Also succeeded, but the first one will report.
% 3.73/1.28 % (735598)Also succeeded, but the first one will report.
% 3.73/1.28 % (735599)Also succeeded, but the first one will report.
% 3.73/1.28 % (735627)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=65746209:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.73/1.28 % (735627)Refutation not found, incomplete strategy
% 3.73/1.28 % (735627)------------------------------
% 3.73/1.28 % (735627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.28 % (735627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.28 % (735627)CaDiCaL version: 2.1.3
% 3.73/1.28 % (735627)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.28 % (735627)Time elapsed: 0.001 s
% 3.73/1.28 % (735627)Peak memory usage: 88 MB
% 3.73/1.28 % (735632)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=2000100900:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.73/1.28 % (735632)Instruction limit reached!
% 3.73/1.28 % (735632)------------------------------
% 3.73/1.28 % (735632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.28 % (735632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.28 % (735632)CaDiCaL version: 2.1.3
% 3.73/1.28 % (735632)Termination reason: Instruction limit
% 3.73/1.28 % (735632)Termination phase: Saturation
% 3.73/1.28 % (735632)Time elapsed: 0.015 s
% 3.73/1.28 % (735632)Peak memory usage: 88 MB
% 3.73/1.28 % (735632)Instructions burned: 29 (million)
% 3.73/1.28 % (735627)------------------------------
% 3.73/1.28 % (735627)------------------------------
% 3.73/1.28 % (735590)Refutation found. Thanks to Tanya!
% 3.73/1.28 % SZS status Theorem for theBenchmark
% 3.73/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.28 % (735590)------------------------------
% 3.73/1.28 % (735590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.28 % (735590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.28 % (735590)CaDiCaL version: 2.1.3
% 3.73/1.28 % (735590)Termination reason: Refutation
% 3.73/1.28 % (735590)Time elapsed: 0.030 s
% 3.73/1.28 % (735590)Peak memory usage: 115 MB
% 3.73/1.28 % (735590)Instructions burned: 7 (million)
% 3.73/1.28 % (735590)------------------------------
% 3.73/1.28 % (735590)------------------------------
% 3.73/1.28 % (735466)Success in time 0.439 s
% 3.73/1.28 % Vampire exiting
%------------------------------------------------------------------------------