%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI576_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 : 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 09:33:23 AM UTC 2026
% Result : Theorem 5.84s 1.79s
% Output : Refutation 5.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 3 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 55 ( 12 atm; 12 fun; 26 num; 5 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 : 7 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_9,type,
'$inst0': $int ).
tff(f1,conjecture,
? [X0: $int] :
( $lesseq($product(2,X0),21)
& $lesseq(29,$product(3,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ineq_sys_solvable_1) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] :
( $lesseq($product(2,X0),21)
& $lesseq(29,$product(3,X0)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $int] :
( ~ $less($product(3,X0),29)
& ~ $less(21,$product(2,X0)) ),
inference(theory_normalization,[],[f2]) ).
tff(f22,plain,
! [X0: $int] :
( $less($product(3,X0),29)
| $less(21,$product(2,X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f23,plain,
! [X0: $int] :
( $less($product(3,X0),29)
| $less(21,$product(2,X0)) ),
inference(cnf_transformation,[],[f22]) ).
tff(f25,plain,
( $less($product(3,10),29)
| $less(21,$product(2,10)) ),
inference(instantiation,[],[f23]) ).
tff(f26,plain,
$false,
inference(interpreted_simplification,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI576_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n020.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 20:52:49 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.32 Running first-order theorem proving
% 0.25/0.32 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
% 5.84/1.79 % (539277)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.84/1.79 % (539289)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2219368847:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.84/1.79 % (539292)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3873569530:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.84/1.79 % (539292)Instruction limit reached!
% 5.84/1.79 % (539292)------------------------------
% 5.84/1.79 % (539292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539292)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539292)Termination reason: Instruction limit
% 5.84/1.79 % (539292)Termination phase: Saturation
% 5.84/1.79 % (539292)Time elapsed: 0.004 s
% 5.84/1.79 % (539292)Peak memory usage: 88 MB
% 5.84/1.79 % (539292)Instructions burned: 4 (million)
% 5.84/1.79 % (539289)Refutation not found, incomplete strategy
% 5.84/1.79 % (539289)------------------------------
% 5.84/1.79 % (539289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539289)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539289)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.79 % (539289)Time elapsed: 0.022 s
% 5.84/1.79 % (539289)Peak memory usage: 112 MB
% 5.84/1.79 % (539289)Instructions burned: 5 (million)
% 5.84/1.79 % (539291)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3438589948:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.84/1.79 % (539290)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=688446803:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.84/1.79 % (539288)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2819180354:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.84/1.79 % (539291)Instruction limit reached!
% 5.84/1.79 % (539291)------------------------------
% 5.84/1.79 % (539291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539291)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539291)Termination reason: Instruction limit
% 5.84/1.79 % (539291)Termination phase: Saturation
% 5.84/1.79 % (539291)Time elapsed: 0.009 s
% 5.84/1.79 % (539291)Peak memory usage: 88 MB
% 5.84/1.79 % (539291)Instructions burned: 7 (million)
% 5.84/1.79 % (539293)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1130277254:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.84/1.79 % (539294)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1361585054:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.84/1.79 % (539290)First to succeed.
% 5.84/1.79 % (539288)Refutation not found, incomplete strategy
% 5.84/1.79 % (539288)------------------------------
% 5.84/1.79 % (539288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539288)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539288)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.79 % (539288)Time elapsed: 0.042 s
% 5.84/1.79 % (539288)Peak memory usage: 112 MB
% 5.84/1.79 % (539288)Instructions burned: 8 (million)
% 5.84/1.79 % (539290)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-539277"
% 5.84/1.79 % (539293)Refutation not found, incomplete strategy
% 5.84/1.79 % (539293)------------------------------
% 5.84/1.79 % (539293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539293)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539293)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.79 % (539293)Time elapsed: 0.038 s
% 5.84/1.79 % (539293)Peak memory usage: 111 MB
% 5.84/1.79 % (539293)Instructions burned: 5 (million)
% 5.84/1.79 % (539294)Instruction limit reached!
% 5.84/1.79 % (539294)------------------------------
% 5.84/1.79 % (539294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539294)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539294)Termination reason: Instruction limit
% 5.84/1.79 % (539294)Termination phase: Saturation
% 5.84/1.79 % (539294)Time elapsed: 0.066 s
% 5.84/1.79 % (539294)Peak memory usage: 112 MB
% 5.84/1.79 % (539294)Instructions burned: 33 (million)
% 5.84/1.79 % (539289)------------------------------
% 5.84/1.79 % (539289)------------------------------
% 5.84/1.79 % (539297)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1680891011:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.84/1.79 % (539297)Refutation not found, incomplete strategy
% 5.84/1.79 % (539297)------------------------------
% 5.84/1.79 % (539297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539297)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539297)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.79 % (539297)Time elapsed: 0.002 s
% 5.84/1.79 % (539297)Peak memory usage: 88 MB
% 5.84/1.79 % (539302)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=637386502:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.84/1.79 % (539302)Instruction limit reached!
% 5.84/1.79 % (539302)------------------------------
% 5.84/1.79 % (539302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539302)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539302)Termination reason: Instruction limit
% 5.84/1.79 % (539302)Termination phase: Saturation
% 5.84/1.79 % (539302)Time elapsed: 0.032 s
% 5.84/1.79 % (539302)Peak memory usage: 88 MB
% 5.84/1.79 % (539302)Instructions burned: 30 (million)
% 5.84/1.79 % (539305)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3458066609:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 5.84/1.79 % (539305)Refutation not found, incomplete strategy
% 5.84/1.79 % (539305)------------------------------
% 5.84/1.79 % (539305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539305)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539305)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.79 % (539305)Time elapsed: 0.006 s
% 5.84/1.79 % (539305)Peak memory usage: 90 MB
% 5.84/1.79 % (539305)Instructions burned: 4 (million)
% 5.84/1.79 % (539306)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=322980442:i=24:canc=force:rtra=on_2995 on theBenchmark for (2995ds/24Mi)
% 5.84/1.79 % (539306)Instruction limit reached!
% 5.84/1.79 % (539306)------------------------------
% 5.84/1.79 % (539306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539306)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539306)Termination reason: Instruction limit
% 5.84/1.79 % (539306)Termination phase: Saturation
% 5.84/1.79 % (539306)Time elapsed: 0.015 s
% 5.84/1.79 % (539306)Peak memory usage: 89 MB
% 5.84/1.79 % (539306)Instructions burned: 24 (million)
% 5.84/1.79 % (539288)------------------------------
% 5.84/1.79 % (539288)------------------------------
% 5.84/1.79 % (539290)Refutation found. Thanks to Tanya!
% 5.84/1.79 % SZS status Theorem for theBenchmark
% 5.84/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 5.84/1.79 % (539290)------------------------------
% 5.84/1.79 % (539290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (539290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (539290)CaDiCaL version: 2.1.3
% 5.84/1.79 % (539290)Termination reason: Refutation
% 5.84/1.79 % (539290)Time elapsed: 0.042 s
% 5.84/1.79 % (539290)Peak memory usage: 116 MB
% 5.84/1.79 % (539290)Instructions burned: 7 (million)
% 5.84/1.79 % (539290)------------------------------
% 5.84/1.79 % (539290)------------------------------
% 5.84/1.79 % (539277)Success in time 0.72 s
% 5.84/1.79 % Vampire exiting
%------------------------------------------------------------------------------