%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI349_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 : n006.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 09:32:57 AM UTC 2026
% Result : Theorem 3.65s 1.28s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 23 ( 8 atm; 1 fun; 6 num; 8 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 : 8 ( 6 !; 2 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $real] : $less(7/1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_less_problem_5) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $less(7/1,X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f8,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f12,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(X0,1/1))
| $less(X0,X1) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f14,plain,
! [X0: $real] : ~ $less(7/1,X0),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
! [X0: $real] : ~ $less(7/1,X0),
inference(cnf_transformation,[],[f14]) ).
tff(f22,plain,
! [X0: $real] : $less(X0,7/1),
inference(resolution,[],[f12,f15]) ).
tff(f28,plain,
$false,
inference(resolution,[],[f22,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ARI349_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n006.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Mon Sep 28 20:46:55 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.31 Running first-order theorem proving
% 0.12/0.31 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
% 3.65/1.28 % (169504)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.65/1.28 % (169608)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=535747103:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.65/1.28 % (169608)Instruction limit reached!
% 3.65/1.28 % (169608)------------------------------
% 3.65/1.28 % (169608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (169608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (169608)CaDiCaL version: 2.1.3
% 3.65/1.28 % (169608)Termination reason: Instruction limit
% 3.65/1.28 % (169608)Termination phase: Saturation
% 3.65/1.28 % (169608)Time elapsed: 0.002 s
% 3.65/1.28 % (169608)Peak memory usage: 88 MB
% 3.65/1.28 % (169608)Instructions burned: 5 (million)
% 3.65/1.28 % (169607)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1123313615:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.65/1.28 % (169605)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3670719521:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.65/1.28 % (169606)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2083709126:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.65/1.28 % (169603)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2687062051:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.65/1.28 % (169610)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3854064742:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.65/1.28 % (169607)Instruction limit reached!
% 3.65/1.28 % (169607)------------------------------
% 3.65/1.28 % (169607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (169607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (169607)CaDiCaL version: 2.1.3
% 3.65/1.28 % (169607)Termination reason: Instruction limit
% 3.65/1.28 % (169607)Termination phase: Saturation
% 3.65/1.28 % (169607)Time elapsed: 0.005 s
% 3.65/1.28 % (169607)Peak memory usage: 88 MB
% 3.65/1.28 % (169607)Instructions burned: 7 (million)
% 3.65/1.28 % (169609)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1171394617:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.65/1.28 % (169605)Refutation not found, incomplete strategy
% 3.65/1.28 % (169605)------------------------------
% 3.65/1.28 % (169605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (169605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (169605)CaDiCaL version: 2.1.3
% 3.65/1.28 % (169605)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.28 % (169605)Time elapsed: 0.026 s
% 3.65/1.28 % (169605)Peak memory usage: 111 MB
% 3.65/1.28 % (169605)Instructions burned: 5 (million)
% 3.65/1.28 % (169610)First to succeed.
% 3.65/1.28 % (169610)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-169504"
% 3.65/1.28 % (169606)Also succeeded, but the first one will report.
% 3.65/1.28 % (169603)Instruction limit reached!
% 3.65/1.28 % (169603)------------------------------
% 3.65/1.28 % (169603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (169603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (169603)CaDiCaL version: 2.1.3
% 3.65/1.28 % (169603)Termination reason: Instruction limit
% 3.65/1.28 % (169603)Termination phase: Saturation
% 3.65/1.28 % (169603)Time elapsed: 0.030 s
% 3.65/1.28 % (169603)Peak memory usage: 115 MB
% 3.65/1.28 % (169603)Instructions burned: 12 (million)
% 3.65/1.28 % (169609)Refutation not found, incomplete strategy
% 3.65/1.28 % (169609)------------------------------
% 3.65/1.28 % (169609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (169609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (169609)CaDiCaL version: 2.1.3
% 3.65/1.28 % (169609)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.28 % (169609)Time elapsed: 0.026 s
% 3.65/1.28 % (169609)Peak memory usage: 111 MB
% 3.65/1.28 % (169609)Instructions burned: 5 (million)
% 3.65/1.28 % (169623)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=675597071:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 3.65/1.28 % (169623)Refutation not found, incomplete strategy
% 3.65/1.28 % (169623)------------------------------
% 3.65/1.28 % (169623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (169623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (169623)CaDiCaL version: 2.1.3
% 3.65/1.28 % (169623)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.28 % (169623)Time elapsed: 0.0000 s
% 3.65/1.28 % (169623)Peak memory usage: 88 MB
% 3.65/1.28 % (169629)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=400984183:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.65/1.28 % (169629)Refutation not found, incomplete strategy
% 3.65/1.28 % (169629)------------------------------
% 3.65/1.28 % (169629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (169629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (169629)CaDiCaL version: 2.1.3
% 3.65/1.28 % (169629)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.28 % (169629)Time elapsed: 0.001 s
% 3.65/1.28 % (169629)Peak memory usage: 88 MB
% 3.65/1.28 % (169636)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1929631359:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.65/1.28 % (169636)Also succeeded, but the first one will report.
% 3.65/1.28 % (169623)------------------------------
% 3.65/1.28 % (169623)------------------------------
% 3.65/1.28 % (169605)------------------------------
% 3.65/1.28 % (169605)------------------------------
% 3.65/1.28 % (169609)------------------------------
% 3.65/1.28 % (169609)------------------------------
% 3.65/1.28 % (169610)Refutation found. Thanks to Tanya!
% 3.65/1.28 % SZS status Theorem for theBenchmark
% 3.65/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.28 % (169610)------------------------------
% 3.65/1.28 % (169610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (169610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (169610)CaDiCaL version: 2.1.3
% 3.65/1.28 % (169610)Termination reason: Refutation
% 3.65/1.28 % (169610)Time elapsed: 0.028 s
% 3.65/1.28 % (169610)Peak memory usage: 112 MB
% 3.65/1.28 % (169610)Instructions burned: 6 (million)
% 3.65/1.28 % (169610)------------------------------
% 3.65/1.28 % (169610)------------------------------
% 3.65/1.28 % (169504)Success in time 0.426 s
% 3.65/1.28 % Vampire exiting
%------------------------------------------------------------------------------