%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI667_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 : n018.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 09:33:36 AM UTC 2026
% Result : Theorem 6.12s 1.92s
% Output : Refutation 6.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 8 unt; 0 typ; 3 def)
% Number of atoms : 22 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 4 ~; 3 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 54 ( 12 atm; 21 fun; 21 num; 0 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 : 8 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 2 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
b: $int ).
tff(f1,axiom,
$sum($product(11,a),$product(7,b)) = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f2,conjecture,
( $lesseq(-6,$product(a,b))
| $greatereq(-40,$product(a,b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001) ).
tff(f3,negated_conjecture,
~ ( $lesseq(-6,$product(a,b))
| $greatereq(-40,$product(a,b)) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
~ ( ~ $less(-40,$product(a,b))
| ~ $less($product(a,b),-6) ),
inference(theory_normalization,[],[f3]) ).
tff(f5,plain,
( $less($product(a,b),-6)
& $less(-40,$product(a,b)) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
$sum($product(11,a),$product(7,b)) = 1,
inference(cnf_transformation,[],[f1]) ).
tff(f7,plain,
$less(-40,$product(a,b)),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
$less($product(a,b),-6),
inference(cnf_transformation,[],[f5]) ).
tff(f10,definition,
( spl0_1
<=> $less(-40,$product(a,b)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f13,plain,
spl0_1,
inference(avatar_split_clause,[],[f7,f10]) ).
tff(f15,definition,
( spl0_2
<=> ( $sum($product(11,a),$product(7,b)) = 1 ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f18,plain,
spl0_2,
inference(avatar_split_clause,[],[f6,f15]) ).
tff(f20,definition,
( spl0_3
<=> $less($product(a,b),-6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f23,plain,
spl0_3,
inference(avatar_split_clause,[],[f8,f20]) ).
tff(f24,plain,
$false,
inference(avatar_smt_refutation,[],[f23,f18,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI667_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n018.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 20:57:40 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.29 Running first-order theorem proving
% 0.09/0.29 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
% 6.12/1.92 % (3774694)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 6.12/1.92 % (3774702)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4079107316:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 6.12/1.92 % (3774702)Instruction limit reached!
% 6.12/1.92 % (3774702)------------------------------
% 6.12/1.92 % (3774702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.92 % (3774702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.92 % (3774702)CaDiCaL version: 2.1.3
% 6.12/1.92 % (3774702)Termination reason: Instruction limit
% 6.12/1.92 % (3774702)Termination phase: Saturation
% 6.12/1.92 % (3774702)Time elapsed: 0.005 s
% 6.12/1.92 % (3774702)Peak memory usage: 88 MB
% 6.12/1.92 % (3774702)Instructions burned: 7 (million)
% 6.12/1.92 % (3774699)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2110992736:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 6.12/1.92 % (3774699)Refutation not found, incomplete strategy
% 6.12/1.92 % (3774699)------------------------------
% 6.12/1.92 % (3774699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.92 % (3774699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.92 % (3774699)CaDiCaL version: 2.1.3
% 6.12/1.92 % (3774699)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.92 % (3774699)Time elapsed: 0.035 s
% 6.12/1.92 % (3774699)Peak memory usage: 117 MB
% 6.12/1.92 % (3774699)Instructions burned: 12 (million)
% 6.12/1.92 % (3774705)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1085562928:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 6.12/1.92 % (3774703)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2969014402:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 6.12/1.92 % (3774700)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1560780169:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 6.12/1.92 % (3774704)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2929511406:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 6.12/1.92 % (3774703)Instruction limit reached!
% 6.12/1.92 % (3774703)------------------------------
% 6.12/1.92 % (3774703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.92 % (3774703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.92 % (3774703)CaDiCaL version: 2.1.3
% 6.12/1.92 % (3774703)Termination reason: Instruction limit
% 6.12/1.92 % (3774703)Termination phase: Saturation
% 6.12/1.92 % (3774703)Time elapsed: 0.007 s
% 6.12/1.92 % (3774703)Peak memory usage: 89 MB
% 6.12/1.92 % (3774703)Instructions burned: 4 (million)
% 6.12/1.92 % (3774701)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=70006218:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 6.12/1.92 % (3774704)First to succeed.
% 6.12/1.92 % (3774704)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3774694"
% 6.12/1.92 % (3774705)Also succeeded, but the first one will report.
% 6.12/1.92 % (3774700)Also succeeded, but the first one will report.
% 6.12/1.92 % (3774707)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4257066360:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 6.12/1.92 % (3774707)Refutation not found, incomplete strategy
% 6.12/1.92 % (3774707)------------------------------
% 6.12/1.92 % (3774707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.92 % (3774707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.92 % (3774707)CaDiCaL version: 2.1.3
% 6.12/1.92 % (3774707)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.92 % (3774707)Time elapsed: 0.001 s
% 6.12/1.92 % (3774707)Peak memory usage: 88 MB
% 6.12/1.92 % (3774713)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=1921986976:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 6.12/1.92 % (3774701)Instruction limit reached!
% 6.12/1.92 % (3774701)------------------------------
% 6.12/1.92 % (3774701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.92 % (3774701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.92 % (3774701)CaDiCaL version: 2.1.3
% 6.12/1.92 % (3774701)Termination reason: Instruction limit
% 6.12/1.92 % (3774701)Termination phase: Saturation
% 6.12/1.92 % (3774701)Time elapsed: 0.264 s
% 6.12/1.92 % (3774701)Peak memory usage: 117 MB
% 6.12/1.92 % (3774701)Instructions burned: 202 (million)
% 6.12/1.92 % (3774713)Instruction limit reached!
% 6.12/1.92 % (3774713)------------------------------
% 6.12/1.92 % (3774713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.92 % (3774713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.92 % (3774713)CaDiCaL version: 2.1.3
% 6.12/1.92 % (3774713)Termination reason: Instruction limit
% 6.12/1.92 % (3774713)Termination phase: Saturation
% 6.12/1.92 % (3774713)Time elapsed: 0.032 s
% 6.12/1.92 % (3774713)Peak memory usage: 88 MB
% 6.12/1.92 % (3774713)Instructions burned: 30 (million)
% 6.12/1.92 % (3774699)------------------------------
% 6.12/1.92 % (3774699)------------------------------
% 6.12/1.92 % (3774707)------------------------------
% 6.12/1.92 % (3774707)------------------------------
% 6.12/1.92 % (3774704)Refutation found. Thanks to Tanya!
% 6.12/1.92 % SZS status Theorem for theBenchmark
% 6.12/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 6.12/1.92 % (3774704)------------------------------
% 6.12/1.92 % (3774704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.92 % (3774704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.92 % (3774704)CaDiCaL version: 2.1.3
% 6.12/1.92 % (3774704)Termination reason: Refutation
% 6.12/1.92 % (3774704)Time elapsed: 0.061 s
% 6.12/1.92 % (3774704)Peak memory usage: 117 MB
% 6.12/1.92 % (3774704)Instructions burned: 21 (million)
% 6.12/1.92 % (3774704)------------------------------
% 6.12/1.92 % (3774704)------------------------------
% 6.12/1.92 % (3774694)Success in time 0.736 s
% 6.12/1.92 % Vampire exiting
%------------------------------------------------------------------------------