%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI006_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 : n010.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 2.54s 1.12s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% 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 : 24 ( 8 atm; 1 fun; 1 num; 14 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; 1 con; 0-2 aty)
% Number of variables : 14 ( 10 !; 4 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
-1: $int > $int ).
tff(f1,conjecture,
? [X0: $int,X1: $int] : $less(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_something) ).
tff(f2,negated_conjecture,
~ ? [X0: $int,X1: $int] : $less(X0,X1),
inference(negated_conjecture,[status(cth)],[f1]) ).
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,
! [X1: $int,X0: $int] : ~ $less(X0,X1),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int,X1: $int] : ~ $less(X1,X0),
inference(rectify,[],[f15]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ~ $less(X1,X0),
inference(cnf_transformation,[],[f16]) ).
tff(f80,plain,
! [X0: $int,X1: $int] : $less(X0,X1),
inference(forward_subsumption_resolution,[],[f12,f17]) ).
tff(f81,plain,
$false,
inference(forward_subsumption_resolution,[],[f80,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI006_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:41:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.54/1.12 % (2289099)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.54/1.12 % (2289108)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=628255866:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.54/1.12 % (2289108)First to succeed.
% 2.54/1.12 % (2289108)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2289099"
% 2.54/1.12 % (2289110)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3843401022:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.54/1.12 % (2289107)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=365374970:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.54/1.12 % (2289104)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3969429527:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.54/1.12 % (2289105)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=103287677:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.54/1.12 % (2289106)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3569151512:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.54/1.12 % (2289107)Also succeeded, but the first one will report.
% 2.54/1.12 % (2289109)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=881459729:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.54/1.12 % (2289110)Also succeeded, but the first one will report.
% 2.54/1.12 % (2289105)Refutation not found, incomplete strategy
% 2.54/1.12 % (2289105)------------------------------
% 2.54/1.12 % (2289105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.12 % (2289105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.12 % (2289105)CaDiCaL version: 2.1.3
% 2.54/1.12 % (2289105)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.12 % (2289105)Time elapsed: 0.026 s
% 2.54/1.12 % (2289105)Peak memory usage: 111 MB
% 2.54/1.12 % (2289105)Instructions burned: 5 (million)
% 2.54/1.12 % (2289104)Also succeeded, but the first one will report.
% 2.54/1.12 % (2289106)Also succeeded, but the first one will report.
% 2.54/1.12 % (2289109)Refutation not found, incomplete strategy
% 2.54/1.12 % (2289109)------------------------------
% 2.54/1.12 % (2289109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.12 % (2289109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.12 % (2289109)CaDiCaL version: 2.1.3
% 2.54/1.12 % (2289109)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.12 % (2289109)Time elapsed: 0.027 s
% 2.54/1.12 % (2289109)Peak memory usage: 111 MB
% 2.54/1.12 % (2289109)Instructions burned: 5 (million)
% 2.54/1.12 % (2289108)Refutation found. Thanks to Tanya!
% 2.54/1.12 % SZS status Theorem for theBenchmark
% 2.54/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.12 % (2289108)------------------------------
% 2.54/1.12 % (2289108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.12 % (2289108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.12 % (2289108)CaDiCaL version: 2.1.3
% 2.54/1.12 % (2289108)Termination reason: Refutation
% 2.54/1.12 % (2289108)Time elapsed: 0.002 s
% 2.54/1.12 % (2289108)Peak memory usage: 89 MB
% 2.54/1.12 % (2289108)Instructions burned: 3 (million)
% 2.54/1.12 % (2289108)------------------------------
% 2.54/1.12 % (2289108)------------------------------
% 2.54/1.12 % (2289099)Success in time 0.276 s
% 2.54/1.12 % Vampire exiting
%------------------------------------------------------------------------------