%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI173_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:32:37 AM UTC 2026
% Result : Theorem 0.22s 1.71s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 35 ( 5 atm; 10 fun; 16 num; 4 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
'$inst0': $int ).
tff(f1,conjecture,
? [X0: $int] : $less($sum($product(X0,3),-5),-12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less($sum($product(X0,3),-5),-12),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
! [X0: $int] : ~ $less($sum($product(X0,3),-5),-12),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: $int] : ~ $less($sum($product(X0,3),-5),-12),
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
~ $less($sum($product(-3,3),-5),-12),
inference(instantiation,[],[f22]) ).
tff(f25,plain,
$false,
inference(interpreted_simplification,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI173_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:43:45 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 0.22/1.71 % (3438500)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.22/1.71 % (3438645)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2847376921:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/1.71 % (3438645)Refutation not found, incomplete strategy
% 0.22/1.71 % (3438645)------------------------------
% 0.22/1.71 % (3438645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.71 % (3438645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.71 % (3438645)CaDiCaL version: 2.1.3
% 0.22/1.71 % (3438645)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.71 % (3438645)Time elapsed: 0.025 s
% 0.22/1.71 % (3438645)Peak memory usage: 113 MB
% 0.22/1.71 % (3438645)Instructions burned: 8 (million)
% 0.22/1.71 % (3438649)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=384054505:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.22/1.71 % (3438646)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3782055649:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.22/1.71 % (3438650)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3933116294:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.22/1.71 % (3438647)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1445264352:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.22/1.71 % (3438649)Instruction limit reached!
% 0.22/1.71 % (3438649)------------------------------
% 0.22/1.71 % (3438649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.71 % (3438649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.71 % (3438649)CaDiCaL version: 2.1.3
% 0.22/1.71 % (3438649)Termination reason: Instruction limit
% 0.22/1.71 % (3438649)Termination phase: Saturation
% 0.22/1.71 % (3438649)Time elapsed: 0.006 s
% 0.22/1.71 % (3438649)Peak memory usage: 89 MB
% 0.22/1.71 % (3438649)Instructions burned: 4 (million)
% 0.22/1.71 % (3438646)Refutation not found, incomplete strategy
% 0.22/1.71 % (3438646)------------------------------
% 0.22/1.71 % (3438646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.71 % (3438650)Refutation not found, incomplete strategy
% 0.22/1.71 % (3438650)------------------------------
% 0.22/1.71 % (3438650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.71 % (3438650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.71 % (3438650)CaDiCaL version: 2.1.3
% 0.22/1.71 % (3438650)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.71 % (3438650)Time elapsed: 0.038 s
% 0.22/1.71 % (3438646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.71 % (3438646)CaDiCaL version: 2.1.3
% 0.22/1.71 % (3438646)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.71 % (3438646)Time elapsed: 0.038 s
% 0.22/1.71 % (3438650)Peak memory usage: 111 MB
% 0.22/1.71 % (3438650)Instructions burned: 5 (million)
% 0.22/1.71 % (3438646)Peak memory usage: 111 MB
% 0.22/1.71 % (3438646)Instructions burned: 5 (million)
% 0.22/1.71 % (3438647)First to succeed.
% 0.22/1.71 % (3438647)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3438500"
% 0.22/1.71 % (3438648)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2820625396:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/1.71 % (3438648)Also succeeded, but the first one will report.
% 0.22/1.71 % (3438652)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4170776218:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.22/1.71 % (3438652)Instruction limit reached!
% 0.22/1.71 % (3438652)------------------------------
% 0.22/1.71 % (3438652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.71 % (3438652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.71 % (3438652)CaDiCaL version: 2.1.3
% 0.22/1.71 % (3438652)Termination reason: Instruction limit
% 0.22/1.71 % (3438652)Termination phase: Saturation
% 0.22/1.71 % (3438652)Time elapsed: 0.066 s
% 0.22/1.71 % (3438652)Peak memory usage: 112 MB
% 0.22/1.71 % (3438652)Instructions burned: 33 (million)
% 0.22/1.71 % (3438663)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2174314992:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 0.22/1.71 % (3438663)Refutation not found, incomplete strategy
% 0.22/1.71 % (3438663)------------------------------
% 0.22/1.71 % (3438663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.71 % (3438663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.71 % (3438663)CaDiCaL version: 2.1.3
% 0.22/1.71 % (3438663)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.71 % (3438663)Time elapsed: 0.001 s
% 0.22/1.71 % (3438663)Peak memory usage: 88 MB
% 0.22/1.71 % (3438645)------------------------------
% 0.22/1.71 % (3438645)------------------------------
% 0.22/1.71 % (3438663)------------------------------
% 0.22/1.71 % (3438663)------------------------------
% 0.22/1.71 % (3438650)------------------------------
% 0.22/1.71 % (3438650)------------------------------
% 0.22/1.71 % (3438646)------------------------------
% 0.22/1.71 % (3438646)------------------------------
% 0.22/1.71 % (3438647)Refutation found. Thanks to Tanya!
% 0.22/1.71 % SZS status Theorem for theBenchmark
% 0.22/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.71 % (3438647)------------------------------
% 0.22/1.71 % (3438647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.71 % (3438647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.71 % (3438647)CaDiCaL version: 2.1.3
% 0.22/1.71 % (3438647)Termination reason: Refutation
% 0.22/1.71 % (3438647)Time elapsed: 0.041 s
% 0.22/1.71 % (3438647)Peak memory usage: 116 MB
% 0.22/1.71 % (3438647)Instructions burned: 7 (million)
% 0.22/1.71 % (3438647)------------------------------
% 0.22/1.71 % (3438647)------------------------------
% 0.22/1.71 % (3438500)Success in time 0.703 s
% 0.22/1.71 % Vampire exiting
%------------------------------------------------------------------------------