%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI026_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 : n008.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 09:32:22 AM UTC 2026
% Result : Theorem 2.67s 1.17s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 26 ( 7 atm; 2 fun; 9 num; 8 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 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 5 !; 3 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : $lesseq(X0,-2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_lesseq_n2) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $lesseq(X0,-2),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $int] : ~ $less(-2,X0),
inference(theory_normalization,[],[f2]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f16,plain,
! [X0: $int] : $less(-2,X0),
inference(ennf_transformation,[],[f3]) ).
tff(f17,plain,
! [X0: $int] : $less(-2,X0),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
! [X0: $int] : $less(0,$sum(X0,2)),
inference(evaluation,[],[f17]) ).
tff(f19,plain,
! [X0: $int] : ( 0 != $sum(X0,2) ),
inference(constrained_resolution,[],[f9,f18]) ).
tff(f20,plain,
$false,
inference(gaussian_variable_elimination,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI026_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n008.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 20:42:10 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.27 Running first-order theorem proving
% 0.08/0.27 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
% 2.67/1.17 % (2604404)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.67/1.17 % (2604439)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1500363738:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.67/1.17 % (2604439)First to succeed.
% 2.67/1.17 % (2604439)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2604404"
% 2.67/1.17 % (2604442)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=302575509:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.67/1.17 % (2604446)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=565736951:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.67/1.17 % (2604448)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1556270076:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.67/1.17 % (2604443)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=574943622:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.67/1.17 % (2604451)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1995515970:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.67/1.17 % (2604440)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1665784913:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.67/1.17 % (2604446)Also succeeded, but the first one will report.
% 2.67/1.17 % (2604443)Also succeeded, but the first one will report.
% 2.67/1.17 % (2604448)Refutation not found, incomplete strategy
% 2.67/1.17 % (2604448)------------------------------
% 2.67/1.17 % (2604448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.17 % (2604448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.17 % (2604448)CaDiCaL version: 2.1.3
% 2.67/1.17 % (2604448)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.17 % (2604448)Time elapsed: 0.027 s
% 2.67/1.17 % (2604448)Peak memory usage: 111 MB
% 2.67/1.17 % (2604448)Instructions burned: 5 (million)
% 2.67/1.17 % (2604440)Refutation not found, incomplete strategy
% 2.67/1.17 % (2604440)------------------------------
% 2.67/1.17 % (2604440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.17 % (2604440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.17 % (2604440)CaDiCaL version: 2.1.3
% 2.67/1.17 % (2604440)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.17 % (2604440)Time elapsed: 0.027 s
% 2.67/1.17 % (2604440)Peak memory usage: 111 MB
% 2.67/1.17 % (2604440)Instructions burned: 5 (million)
% 2.67/1.17 % (2604451)Also succeeded, but the first one will report.
% 2.67/1.17 % (2604442)Also succeeded, but the first one will report.
% 2.67/1.17 % (2604439)Refutation found. Thanks to Tanya!
% 2.67/1.17 % SZS status Theorem for theBenchmark
% 2.67/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.17 % (2604439)------------------------------
% 2.67/1.17 % (2604439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.17 % (2604439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.17 % (2604439)CaDiCaL version: 2.1.3
% 2.67/1.17 % (2604439)Termination reason: Refutation
% 2.67/1.17 % (2604439)Time elapsed: 0.016 s
% 2.67/1.17 % (2604439)Peak memory usage: 112 MB
% 2.67/1.17 % (2604439)Instructions burned: 5 (million)
% 2.67/1.17 % (2604439)------------------------------
% 2.67/1.17 % (2604439)------------------------------
% 2.67/1.17 % (2604404)Success in time 0.275 s
% 2.67/1.17 % Vampire exiting
%------------------------------------------------------------------------------