%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI511_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 : n012.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 09:33:15 AM UTC 2026
% Result : Theorem 2.34s 0.74s
% Output : Refutation 2.34s
% 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 : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 20 ( 6 atm; 2 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 0 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : $less($to_rat(5/19),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed_types_problem_16) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $less($to_rat(5/19),X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $rat] : $less(5/19,X0),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
! [X0: $rat] : ~ $less(5/19,X0),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
! [X0: $rat] : ~ $less(5/19,X0),
inference(cnf_transformation,[],[f15]) ).
tff(f18,plain,
~ $less(5/19,1/1),
inference(instantiation,[],[f16]) ).
tff(f21,plain,
$false,
inference(evaluation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI511_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 20:50:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running first-order theorem proving
% 0.09/0.12 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
% 2.34/0.74 % (3744401)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.34/0.74 % (3744471)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4100093226:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.34/0.74 % (3744472)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2099578866:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.34/0.74 % (3744476)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2948150908:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.34/0.74 % (3744473)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3547024545:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.34/0.74 % (3744475)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=811434935:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.34/0.74 % (3744470)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=564797942:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.34/0.74 % (3744474)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=664572003:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.34/0.74 % (3744473)First to succeed.
% 2.34/0.74 % (3744473)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3744401"
% 2.34/0.74 % (3744474)Instruction limit reached!
% 2.34/0.74 % (3744474)------------------------------
% 2.34/0.74 % (3744474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.74 % (3744474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.74 % (3744474)CaDiCaL version: 2.1.3
% 2.34/0.74 % (3744474)Termination reason: Instruction limit
% 2.34/0.74 % (3744474)Termination phase: Saturation
% 2.34/0.74 % (3744474)Time elapsed: 0.002 s
% 2.34/0.74 % (3744474)Peak memory usage: 88 MB
% 2.34/0.74 % (3744474)Instructions burned: 5 (million)
% 2.34/0.74 % (3744475)Refutation not found, incomplete strategy
% 2.34/0.74 % (3744475)------------------------------
% 2.34/0.74 % (3744475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.74 % (3744475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.74 % (3744475)CaDiCaL version: 2.1.3
% 2.34/0.74 % (3744475)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.74 % (3744475)Time elapsed: 0.016 s
% 2.34/0.74 % (3744475)Peak memory usage: 110 MB
% 2.34/0.74 % (3744475)Instructions burned: 5 (million)
% 2.34/0.74 % (3744471)Refutation not found, incomplete strategy
% 2.34/0.74 % (3744471)------------------------------
% 2.34/0.74 % (3744471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.74 % (3744471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.74 % (3744471)CaDiCaL version: 2.1.3
% 2.34/0.74 % (3744471)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.74 % (3744471)Time elapsed: 0.016 s
% 2.34/0.74 % (3744471)Peak memory usage: 111 MB
% 2.34/0.74 % (3744471)Instructions burned: 5 (million)
% 2.34/0.74 % (3744476)Also succeeded, but the first one will report.
% 2.34/0.74 % (3744472)Also succeeded, but the first one will report.
% 2.34/0.74 % (3744470)Instruction limit reached!
% 2.34/0.74 % (3744470)------------------------------
% 2.34/0.74 % (3744470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.74 % (3744470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.74 % (3744470)CaDiCaL version: 2.1.3
% 2.34/0.74 % (3744470)Termination reason: Instruction limit
% 2.34/0.74 % (3744470)Termination phase: Saturation
% 2.34/0.74 % (3744470)Time elapsed: 0.019 s
% 2.34/0.74 % (3744470)Peak memory usage: 115 MB
% 2.34/0.74 % (3744470)Instructions burned: 15 (million)
% 2.34/0.74 % (3744535)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2378174334:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.34/0.74 % (3744535)Refutation not found, incomplete strategy
% 2.34/0.74 % (3744535)------------------------------
% 2.34/0.74 % (3744535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.74 % (3744535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.74 % (3744535)CaDiCaL version: 2.1.3
% 2.34/0.74 % (3744535)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.74 % (3744535)Time elapsed: 0.0000 s
% 2.34/0.74 % (3744535)Peak memory usage: 88 MB
% 2.34/0.74 % (3744546)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=2209392428:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.34/0.74 % (3744546)Refutation not found, incomplete strategy
% 2.34/0.74 % (3744546)------------------------------
% 2.34/0.74 % (3744546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.74 % (3744546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.74 % (3744546)CaDiCaL version: 2.1.3
% 2.34/0.74 % (3744546)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.74 % (3744546)Time elapsed: 0.001 s
% 2.34/0.74 % (3744546)Peak memory usage: 88 MB
% 2.34/0.74 % (3744473)Refutation found. Thanks to Tanya!
% 2.34/0.74 % SZS status Theorem for theBenchmark
% 2.34/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.74 % (3744473)------------------------------
% 2.34/0.74 % (3744473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.74 % (3744473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.74 % (3744473)CaDiCaL version: 2.1.3
% 2.34/0.74 % (3744473)Termination reason: Refutation
% 2.34/0.74 % (3744473)Time elapsed: 0.001 s
% 2.34/0.74 % (3744473)Peak memory usage: 88 MB
% 2.34/0.74 % (3744473)------------------------------
% 2.34/0.74 % (3744473)------------------------------
% 2.34/0.74 % (3744401)Success in time 0.292 s
% 2.34/0.74 % Vampire exiting
%------------------------------------------------------------------------------