%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI012_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 : n005.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 09:32:20 AM UTC 2026
% Result : Theorem 3.58s 1.16s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 27 ( 6 atm; 4 fun; 10 num; 7 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 : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : $less(X0,-2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_n2) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less(X0,-2),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f15,plain,
! [X0: $int] : ~ $less(X0,-2),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int] : ~ $less(X0,-2),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
! [X0: $int] : $less(0,$sum($sum(X0,1),2)),
inference(evaluation,[],[f16]) ).
tff(f18,plain,
! [X0: $int] : ( 0 != $sum($sum(X0,1),2) ),
inference(constrained_resolution,[],[f8,f17]) ).
tff(f19,plain,
$false,
inference(gaussian_variable_elimination,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI012_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n005.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 20:40:47 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running first-order theorem proving
% 0.09/0.19 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
% 3.58/1.16 % (1128747)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.58/1.16 % (1128755)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=235742756:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.58/1.16 % (1128755)Instruction limit reached!
% 3.58/1.16 % (1128755)------------------------------
% 3.58/1.16 % (1128755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.16 % (1128755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.16 % (1128755)CaDiCaL version: 2.1.3
% 3.58/1.16 % (1128755)Termination reason: Instruction limit
% 3.58/1.16 % (1128755)Termination phase: Saturation
% 3.58/1.16 % (1128755)Time elapsed: 0.003 s
% 3.58/1.16 % (1128755)Peak memory usage: 88 MB
% 3.58/1.16 % (1128755)Instructions burned: 8 (million)
% 3.58/1.16 % (1128753)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1907976744:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.58/1.16 % (1128758)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2647122659:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.58/1.16 % (1128757)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3563735277:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.58/1.16 % (1128754)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1161667796:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.58/1.16 % (1128752)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3336777780:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.58/1.16 % (1128756)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=796694631:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.58/1.16 % (1128756)Instruction limit reached!
% 3.58/1.16 % (1128756)------------------------------
% 3.58/1.16 % (1128756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.16 % (1128756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.16 % (1128756)CaDiCaL version: 2.1.3
% 3.58/1.16 % (1128756)Termination reason: Instruction limit
% 3.58/1.16 % (1128756)Termination phase: Saturation
% 3.58/1.16 % (1128756)Time elapsed: 0.004 s
% 3.58/1.16 % (1128756)Peak memory usage: 89 MB
% 3.58/1.16 % (1128756)Instructions burned: 5 (million)
% 3.58/1.16 % (1128753)Refutation not found, incomplete strategy
% 3.58/1.16 % (1128753)------------------------------
% 3.58/1.16 % (1128753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.16 % (1128753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.16 % (1128753)CaDiCaL version: 2.1.3
% 3.58/1.16 % (1128753)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.16 % (1128753)Time elapsed: 0.027 s
% 3.58/1.16 % (1128753)Peak memory usage: 111 MB
% 3.58/1.16 % (1128753)Instructions burned: 5 (million)
% 3.58/1.16 % (1128752)First to succeed.
% 3.58/1.16 % (1128757)Refutation not found, incomplete strategy
% 3.58/1.16 % (1128757)------------------------------
% 3.58/1.16 % (1128757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.16 % (1128757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.16 % (1128757)CaDiCaL version: 2.1.3
% 3.58/1.16 % (1128757)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.16 % (1128757)Time elapsed: 0.027 s
% 3.58/1.16 % (1128757)Peak memory usage: 111 MB
% 3.58/1.16 % (1128757)Instructions burned: 5 (million)
% 3.58/1.16 % (1128752)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1128747"
% 3.58/1.16 % (1128754)Also succeeded, but the first one will report.
% 3.58/1.16 % (1128758)Also succeeded, but the first one will report.
% 3.58/1.16 % (1128760)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2035716493:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.58/1.16 % (1128760)Refutation not found, incomplete strategy
% 3.58/1.16 % (1128760)------------------------------
% 3.58/1.16 % (1128760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.16 % (1128760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.16 % (1128760)CaDiCaL version: 2.1.3
% 3.58/1.16 % (1128760)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.16 % (1128760)Time elapsed: 0.0000 s
% 3.58/1.16 % (1128760)Peak memory usage: 88 MB
% 3.58/1.16 % (1128767)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=1415813670:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.58/1.16 % (1128767)Refutation not found, incomplete strategy
% 3.58/1.16 % (1128767)------------------------------
% 3.58/1.16 % (1128767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.16 % (1128767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.16 % (1128767)CaDiCaL version: 2.1.3
% 3.58/1.16 % (1128767)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.16 % (1128767)Time elapsed: 0.001 s
% 3.58/1.16 % (1128767)Peak memory usage: 88 MB
% 3.58/1.16 % (1128760)------------------------------
% 3.58/1.16 % (1128760)------------------------------
% 3.58/1.16 % (1128757)------------------------------
% 3.58/1.16 % (1128757)------------------------------
% 3.58/1.16 % (1128753)------------------------------
% 3.58/1.16 % (1128753)------------------------------
% 3.58/1.16 % (1128752)Refutation found. Thanks to Tanya!
% 3.58/1.16 % SZS status Theorem for theBenchmark
% 3.58/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.16 % (1128752)------------------------------
% 3.58/1.16 % (1128752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.16 % (1128752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.16 % (1128752)CaDiCaL version: 2.1.3
% 3.58/1.16 % (1128752)Termination reason: Refutation
% 3.58/1.16 % (1128752)Time elapsed: 0.027 s
% 3.58/1.16 % (1128752)Peak memory usage: 112 MB
% 3.58/1.16 % (1128752)Instructions burned: 5 (million)
% 3.58/1.16 % (1128752)------------------------------
% 3.58/1.16 % (1128752)------------------------------
% 3.58/1.16 % (1128747)Success in time 0.436 s
% 3.58/1.16 % Vampire exiting
%------------------------------------------------------------------------------