%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI011_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 : 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 09:32:20 AM UTC 2026
% Result : Theorem 3.60s 1.29s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 36 ( 10 atm; 6 fun; 8 num; 12 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 : 4 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 10 !; 2 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : $less(X0,0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_0) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less(X0,0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(definition,[],[tha_order_monotonicity]) ).
tff(f15,plain,
! [X0: $int] : ~ $less(X0,0),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int] : ~ $less(X0,0),
inference(cnf_transformation,[],[f15]) ).
tff(f48,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,$uminus(X1)),0)
| ~ $less(X0,X1) ),
inference(superposition,[],[f11,f7]) ).
tff(f57,plain,
! [X0: $int,X1: $int] : ~ $less(X0,X1),
inference(forward_subsumption_resolution,[],[f48,f16]) ).
tff(f59,plain,
~ $less(0,1),
inference(instantiation,[],[f57]) ).
tff(f62,plain,
$false,
inference(evaluation,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI011_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:43:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.60/1.29 % (3737545)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.60/1.29 % (3737554)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=463990633:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.60/1.29 % (3737554)Instruction limit reached!
% 3.60/1.29 % (3737554)------------------------------
% 3.60/1.29 % (3737554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (3737554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (3737554)CaDiCaL version: 2.1.3
% 3.60/1.29 % (3737554)Termination reason: Instruction limit
% 3.60/1.29 % (3737554)Termination phase: Saturation
% 3.60/1.29 % (3737554)Time elapsed: 0.003 s
% 3.60/1.29 % (3737554)Peak memory usage: 89 MB
% 3.60/1.29 % (3737554)Instructions burned: 6 (million)
% 3.60/1.29 % (3737553)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2304373331:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.60/1.29 % (3737550)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2731744768:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.60/1.29 % (3737552)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=328949086:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.60/1.29 % (3737551)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2347258193:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.60/1.29 % (3737553)First to succeed.
% 3.60/1.29 % (3737553)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3737545"
% 3.60/1.29 % (3737555)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3177213130:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.60/1.29 % (3737556)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1907892541:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.60/1.29 % (3737551)Refutation not found, incomplete strategy
% 3.60/1.29 % (3737551)------------------------------
% 3.60/1.29 % (3737551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (3737551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (3737551)CaDiCaL version: 2.1.3
% 3.60/1.29 % (3737551)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.29 % (3737551)Time elapsed: 0.027 s
% 3.60/1.29 % (3737551)Peak memory usage: 111 MB
% 3.60/1.29 % (3737551)Instructions burned: 5 (million)
% 3.60/1.29 % (3737550)Also succeeded, but the first one will report.
% 3.60/1.29 % (3737552)Also succeeded, but the first one will report.
% 3.60/1.29 % (3737555)Refutation not found, incomplete strategy
% 3.60/1.29 % (3737555)------------------------------
% 3.60/1.29 % (3737555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (3737555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (3737555)CaDiCaL version: 2.1.3
% 3.60/1.29 % (3737555)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.29 % (3737555)Time elapsed: 0.027 s
% 3.60/1.29 % (3737555)Peak memory usage: 111 MB
% 3.60/1.29 % (3737555)Instructions burned: 5 (million)
% 3.60/1.29 % (3737556)Also succeeded, but the first one will report.
% 3.60/1.29 % (3737558)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2348087405:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.60/1.29 % (3737558)Refutation not found, incomplete strategy
% 3.60/1.29 % (3737558)------------------------------
% 3.60/1.29 % (3737558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (3737558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (3737558)CaDiCaL version: 2.1.3
% 3.60/1.29 % (3737558)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.29 % (3737558)Time elapsed: 0.0000 s
% 3.60/1.29 % (3737558)Peak memory usage: 88 MB
% 3.60/1.29 % (3737558)------------------------------
% 3.60/1.29 % (3737558)------------------------------
% 3.60/1.29 % (3737553)Refutation found. Thanks to Tanya!
% 3.60/1.29 % SZS status Theorem for theBenchmark
% 3.60/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.29 % (3737553)------------------------------
% 3.60/1.29 % (3737553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (3737553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (3737553)CaDiCaL version: 2.1.3
% 3.60/1.29 % (3737553)Termination reason: Refutation
% 3.60/1.29 % (3737553)Time elapsed: 0.002 s
% 3.60/1.29 % (3737553)Peak memory usage: 88 MB
% 3.60/1.29 % (3737553)Instructions burned: 1 (million)
% 3.60/1.29 % (3737553)------------------------------
% 3.60/1.29 % (3737553)------------------------------
% 3.60/1.29 % (3737545)Success in time 0.428 s
% 3.60/1.29 % Vampire exiting
%------------------------------------------------------------------------------