%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI214_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 : n007.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 09:32:42 AM UTC 2026
% Result : Theorem 2.63s 1.17s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 18 ( 6 atm; 0 fun; 7 num; 5 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 : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : $lesseq(X0,0/1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_lesseq_problem_12) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $lesseq(X0,0/1),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $rat] : ~ $less(0/1,X0),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
! [X0: $rat] : $less(0/1,X0),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
! [X0: $rat] : $less(0/1,X0),
inference(cnf_transformation,[],[f15]) ).
tff(f18,plain,
$less(0/1,0/1),
inference(instantiation,[],[f16]) ).
tff(f21,plain,
$false,
inference(evaluation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI214_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n007.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 20:42:41 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 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
% 2.63/1.17 % (2788671)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.63/1.17 % (2788694)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1961756054:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.63/1.17 % (2788694)First to succeed.
% 2.63/1.17 % (2788694)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2788671"
% 2.63/1.17 % (2788691)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2939258438:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.63/1.17 % (2788692)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3884188570:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.63/1.17 % (2788693)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1745919766:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.63/1.17 % (2788695)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3095374949:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.63/1.17 % (2788697)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3045493429:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.63/1.17 % (2788695)Also succeeded, but the first one will report.
% 2.63/1.17 % (2788692)Refutation not found, incomplete strategy
% 2.63/1.17 % (2788692)------------------------------
% 2.63/1.17 % (2788692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.17 % (2788692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.17 % (2788692)CaDiCaL version: 2.1.3
% 2.63/1.17 % (2788692)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.17 % (2788692)Time elapsed: 0.027 s
% 2.63/1.17 % (2788692)Peak memory usage: 111 MB
% 2.63/1.17 % (2788692)Instructions burned: 5 (million)
% 2.63/1.17 % (2788691)Also succeeded, but the first one will report.
% 2.63/1.17 % (2788693)Also succeeded, but the first one will report.
% 2.63/1.17 % (2788697)Also succeeded, but the first one will report.
% 2.63/1.17 % (2788696)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3863474617:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.63/1.17 % (2788696)Refutation not found, incomplete strategy
% 2.63/1.17 % (2788696)------------------------------
% 2.63/1.17 % (2788696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.17 % (2788696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.17 % (2788696)CaDiCaL version: 2.1.3
% 2.63/1.17 % (2788696)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.17 % (2788696)Time elapsed: 0.027 s
% 2.63/1.17 % (2788696)Peak memory usage: 111 MB
% 2.63/1.17 % (2788696)Instructions burned: 5 (million)
% 2.63/1.17 % (2788694)Refutation found. Thanks to Tanya!
% 2.63/1.17 % SZS status Theorem for theBenchmark
% 2.63/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.17 % (2788694)------------------------------
% 2.63/1.17 % (2788694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.17 % (2788694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.17 % (2788694)CaDiCaL version: 2.1.3
% 2.63/1.17 % (2788694)Termination reason: Refutation
% 2.63/1.17 % (2788694)Time elapsed: 0.001 s
% 2.63/1.17 % (2788694)Peak memory usage: 89 MB
% 2.63/1.17 % (2788694)------------------------------
% 2.63/1.17 % (2788694)------------------------------
% 2.63/1.17 % (2788671)Success in time 0.272 s
% 2.63/1.17 % Vampire exiting
%------------------------------------------------------------------------------