%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI194_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 : n020.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 09:32:40 AM UTC 2026
% Result : Theorem 5.51s 1.76s
% Output : Refutation 5.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 21 ( 7 atm; 1 fun; 6 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : $less(13/24,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_less_problem_5) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $less(13/24,X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f12,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(X0,1/1))
| $less(X0,X1) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f14,plain,
! [X0: $rat] : ~ $less(13/24,X0),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
! [X0: $rat] : ~ $less(13/24,X0),
inference(cnf_transformation,[],[f14]) ).
tff(f22,plain,
! [X0: $rat] : $less(X0,13/24),
inference(resolution,[],[f12,f15]) ).
tff(f27,plain,
$false,
inference(resolution,[],[f22,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI194_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n020.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 20:44:49 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 5.51/1.76 % (520323)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.51/1.76 % (520336)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1213453998:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.51/1.76 % (520341)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=338542075:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.51/1.76 % (520336)Refutation not found, incomplete strategy
% 5.51/1.76 % (520336)------------------------------
% 5.51/1.76 % (520336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.76 % (520336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.76 % (520336)CaDiCaL version: 2.1.3
% 5.51/1.76 % (520336)Termination reason: Refutation not found, incomplete strategy
% 5.51/1.76 % (520336)Time elapsed: 0.023 s
% 5.51/1.76 % (520336)Peak memory usage: 111 MB
% 5.51/1.76 % (520336)Instructions burned: 5 (million)
% 5.51/1.76 % (520341)First to succeed.
% 5.51/1.76 % (520341)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-520323"
% 5.51/1.76 % (520338)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1625054276:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.51/1.76 % (520335)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=993707105:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.51/1.76 % (520339)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2493417626:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.51/1.76 % (520337)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1825568549:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.51/1.76 % (520338)Also succeeded, but the first one will report.
% 5.51/1.76 % (520339)Instruction limit reached!
% 5.51/1.76 % (520339)------------------------------
% 5.51/1.76 % (520339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.76 % (520339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.76 % (520339)CaDiCaL version: 2.1.3
% 5.51/1.76 % (520339)Termination reason: Instruction limit
% 5.51/1.76 % (520339)Termination phase: Saturation
% 5.51/1.76 % (520339)Time elapsed: 0.005 s
% 5.51/1.76 % (520339)Peak memory usage: 88 MB
% 5.51/1.76 % (520339)Instructions burned: 4 (million)
% 5.51/1.76 % (520340)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=414781759:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.51/1.76 % (520337)Also succeeded, but the first one will report.
% 5.51/1.76 % (520335)Instruction limit reached!
% 5.51/1.76 % (520335)------------------------------
% 5.51/1.76 % (520335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.76 % (520335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.76 % (520335)CaDiCaL version: 2.1.3
% 5.51/1.76 % (520335)Termination reason: Instruction limit
% 5.51/1.76 % (520335)Termination phase: Saturation
% 5.51/1.76 % (520335)Time elapsed: 0.044 s
% 5.51/1.76 % (520335)Peak memory usage: 115 MB
% 5.51/1.76 % (520335)Instructions burned: 12 (million)
% 5.51/1.76 % (520340)Refutation not found, incomplete strategy
% 5.51/1.76 % (520340)------------------------------
% 5.51/1.76 % (520340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.76 % (520340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.76 % (520340)CaDiCaL version: 2.1.3
% 5.51/1.76 % (520340)Termination reason: Refutation not found, incomplete strategy
% 5.51/1.76 % (520340)Time elapsed: 0.038 s
% 5.51/1.76 % (520340)Peak memory usage: 111 MB
% 5.51/1.76 % (520340)Instructions burned: 5 (million)
% 5.51/1.76 % (520336)------------------------------
% 5.51/1.76 % (520336)------------------------------
% 5.51/1.76 % (520350)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1867433092:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.51/1.76 % (520350)Refutation not found, incomplete strategy
% 5.51/1.76 % (520350)------------------------------
% 5.51/1.76 % (520350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.76 % (520350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.76 % (520350)CaDiCaL version: 2.1.3
% 5.51/1.76 % (520350)Termination reason: Refutation not found, incomplete strategy
% 5.51/1.76 % (520350)Time elapsed: 0.001 s
% 5.51/1.76 % (520350)Peak memory usage: 88 MB
% 5.51/1.76 % (520352)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=379081536:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2996 on theBenchmark for (2996ds/29Mi)
% 5.51/1.76 % (520352)Refutation not found, incomplete strategy
% 5.51/1.76 % (520352)------------------------------
% 5.51/1.76 % (520352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.76 % (520352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.76 % (520352)CaDiCaL version: 2.1.3
% 5.51/1.76 % (520352)Termination reason: Refutation not found, incomplete strategy
% 5.51/1.76 % (520352)Time elapsed: 0.002 s
% 5.51/1.76 % (520352)Peak memory usage: 88 MB
% 5.51/1.76 % (520341)Refutation found. Thanks to Tanya!
% 5.51/1.76 % SZS status Theorem for theBenchmark
% 5.51/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 5.51/1.76 % (520341)------------------------------
% 5.51/1.76 % (520341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.76 % (520341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.76 % (520341)CaDiCaL version: 2.1.3
% 5.51/1.76 % (520341)Termination reason: Refutation
% 5.51/1.76 % (520341)Time elapsed: 0.040 s
% 5.51/1.76 % (520341)Peak memory usage: 112 MB
% 5.51/1.76 % (520341)Instructions burned: 6 (million)
% 5.51/1.76 % (520341)------------------------------
% 5.51/1.76 % (520341)------------------------------
% 5.51/1.76 % (520323)Success in time 0.654 s
% 5.51/1.76 % Vampire exiting
%------------------------------------------------------------------------------