%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI013_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 : n001.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 2.77s 1.17s
% Output : Refutation 2.77s
% 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 : 5 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 6 !; 2 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
-1: $int > $int ).
tff(func_def_8,type,
-2: $int > $int ).
tff(f1,conjecture,
? [X0: $int] : $less(-2,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n2_less_something) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less(-2,X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f15,plain,
! [X0: $int] : ~ $less(-2,X0),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int] : ~ $less(-2,X0),
inference(cnf_transformation,[],[f15]) ).
tff(f81,plain,
! [X0: $int] : $less(X0,-2),
inference(resolution,[],[f12,f16]) ).
tff(f96,plain,
$false,
inference(resolution,[],[f81,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI013_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 20:46:49 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 2.77/1.17 % (704440)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.77/1.17 % (704449)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1315934877:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.77/1.17 % (704449)First to succeed.
% 2.77/1.17 % (704449)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-704440"
% 2.77/1.17 % (704447)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3256468354:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.77/1.17 % (704446)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3693135999:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.77/1.17 % (704448)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4271095609:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.77/1.17 % (704445)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2686814220:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.77/1.17 % (704448)Also succeeded, but the first one will report.
% 2.77/1.17 % (704450)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1590901182:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.77/1.17 % (704451)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3911269160:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.77/1.17 % (704446)Refutation not found, incomplete strategy
% 2.77/1.17 % (704446)------------------------------
% 2.77/1.17 % (704446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.17 % (704446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.17 % (704446)CaDiCaL version: 2.1.3
% 2.77/1.17 % (704446)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.17 % (704446)Time elapsed: 0.027 s
% 2.77/1.17 % (704446)Peak memory usage: 111 MB
% 2.77/1.17 % (704446)Instructions burned: 5 (million)
% 2.77/1.17 % (704445)Also succeeded, but the first one will report.
% 2.77/1.17 % (704447)Also succeeded, but the first one will report.
% 2.77/1.17 % (704450)Refutation not found, incomplete strategy
% 2.77/1.17 % (704450)------------------------------
% 2.77/1.17 % (704450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.17 % (704450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.17 % (704450)CaDiCaL version: 2.1.3
% 2.77/1.17 % (704450)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.17 % (704450)Time elapsed: 0.027 s
% 2.77/1.17 % (704450)Peak memory usage: 111 MB
% 2.77/1.17 % (704450)Instructions burned: 5 (million)
% 2.77/1.17 % (704451)Also succeeded, but the first one will report.
% 2.77/1.17 % (704449)Refutation found. Thanks to Tanya!
% 2.77/1.17 % SZS status Theorem for theBenchmark
% 2.77/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.17 % (704449)------------------------------
% 2.77/1.17 % (704449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.17 % (704449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.17 % (704449)CaDiCaL version: 2.1.3
% 2.77/1.17 % (704449)Termination reason: Refutation
% 2.77/1.17 % (704449)Time elapsed: 0.003 s
% 2.77/1.17 % (704449)Peak memory usage: 89 MB
% 2.77/1.17 % (704449)Instructions burned: 4 (million)
% 2.77/1.17 % (704449)------------------------------
% 2.77/1.17 % (704449)------------------------------
% 2.77/1.17 % (704440)Success in time 0.299 s
% 2.77/1.17 % Vampire exiting
%------------------------------------------------------------------------------