%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI606_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:33:28 AM UTC 2026
% Result : Theorem 5.85s 1.84s
% Output : Refutation 5.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 16 ( 7 ~; 2 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 41 ( 17 atm; 0 fun; 14 num; 10 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 : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(f1,conjecture,
( ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq(f(f(2)),f(f(5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_mon_implies_ff2_gt_ff5) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq(f(f(2)),f(f(5))) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) )
=> ~ $less(f(f(5)),f(f(2))) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
( $less(f(f(5)),f(f(2)))
& ! [X0: $int,X1: $int] :
( $less(X1,X0)
| ~ $less(f(X1),f(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
$less(f(f(5)),f(f(2))),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
$less(f(5),f(2)),
inference(resolution,[],[f17,f18]) ).
tff(f20,plain,
$less(5,2),
inference(resolution,[],[f19,f17]) ).
tff(f21,plain,
$false,
inference(evaluation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI606_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.27 % Computer : n013.cluster.edu
% 0.23/0.27 % Model : x86_64 x86_64
% 0.23/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.27 % Memory : 8046.5625MB
% 0.23/0.27 % OS : Linux 6.8.0-71-generic
% 0.23/0.27 % CPULimit : 300
% 0.23/0.27 % WCLimit : 300
% 0.23/0.27 % DateTime : Mon Sep 28 20:52:51 UTC 2026
% 0.23/0.27 % CPUTime :
% 0.23/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.32 Running first-order theorem proving
% 0.23/0.32 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
% 5.85/1.84 % (1564648)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.85/1.84 % (1564654)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2120841734:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.85/1.84 % (1564654)Refutation not found, incomplete strategy
% 5.85/1.84 % (1564654)------------------------------
% 5.85/1.84 % (1564654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.84 % (1564654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.84 % (1564654)CaDiCaL version: 2.1.3
% 5.85/1.84 % (1564654)Termination reason: Refutation not found, incomplete strategy
% 5.85/1.84 % (1564654)Time elapsed: 0.026 s
% 5.85/1.84 % (1564654)Peak memory usage: 116 MB
% 5.85/1.84 % (1564654)Instructions burned: 9 (million)
% 5.85/1.84 % (1564662)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=368225963:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.85/1.84 % (1564660)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=434202466:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.85/1.84 % (1564656)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=127691041:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.85/1.84 % (1564658)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2753425751:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.85/1.84 % (1564655)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2360934879:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.85/1.84 % (1564659)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3716301840:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.85/1.84 % (1564659)First to succeed.
% 5.85/1.84 % (1564659)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1564648"
% 5.85/1.84 % (1564658)Instruction limit reached!
% 5.85/1.84 % (1564658)------------------------------
% 5.85/1.84 % (1564658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.84 % (1564658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.84 % (1564658)CaDiCaL version: 2.1.3
% 5.85/1.84 % (1564658)Termination reason: Instruction limit
% 5.85/1.84 % (1564658)Termination phase: Saturation
% 5.85/1.84 % (1564658)Time elapsed: 0.009 s
% 5.85/1.84 % (1564658)Peak memory usage: 88 MB
% 5.85/1.84 % (1564658)Instructions burned: 7 (million)
% 5.85/1.84 % (1564660)Also succeeded, but the first one will report.
% 5.85/1.84 % (1564656)Also succeeded, but the first one will report.
% 5.85/1.84 % (1564655)Also succeeded, but the first one will report.
% 5.85/1.84 % (1564662)Also succeeded, but the first one will report.
% 5.85/1.84 % (1564654)------------------------------
% 5.85/1.84 % (1564654)------------------------------
% 5.85/1.84 % (1564671)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1436502661:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.85/1.84 % (1564671)Also succeeded, but the first one will report.
% 5.85/1.84 % (1564659)Refutation found. Thanks to Tanya!
% 5.85/1.84 % SZS status Theorem for theBenchmark
% 5.85/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 5.85/1.84 % (1564659)------------------------------
% 5.85/1.84 % (1564659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.84 % (1564659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.84 % (1564659)CaDiCaL version: 2.1.3
% 5.85/1.84 % (1564659)Termination reason: Refutation
% 5.85/1.84 % (1564659)Time elapsed: 0.003 s
% 5.85/1.84 % (1564659)Peak memory usage: 89 MB
% 5.85/1.84 % (1564659)Instructions burned: 1 (million)
% 5.85/1.84 % (1564659)------------------------------
% 5.85/1.84 % (1564659)------------------------------
% 5.85/1.84 % (1564648)Success in time 0.699 s
% 5.85/1.84 % Vampire exiting
%------------------------------------------------------------------------------